Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 1171611: The square of a number is equal to ninety more than the number. Find all such numbers.
Click here to see answer by ikleyn(53751) About Me 

Question 1171785: The product of two consecutive integers is 71 more than their sum. Find the integers.
Click here to see answer by Alan3354(69443) About Me 
Question 1171785: The product of two consecutive integers is 71 more than their sum. Find the integers.
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Question 1172008:
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Question 1172006: find three consecutive integers whose sum is 123

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Question 1172022: Tops went to his grandfather’s farm. His grandfather has cows and ducks on his farm. He asked him how many ducks and how many cows his farm has. He told him that his animals has 50 heads and 140 legs and from that information he could calculate the number of ducks and cows. If you were Tops, how would you solve the problem?

Click here to see answer by josgarithmetic(39792) About Me 

Question 1172315: If n = (p1)^α1 .(p2)^α2 .(p3)^α3 .(p4)^α4 .....(pr)^αr where p1 , p2 , p3 , ...., pr are distinct prime numbers then following result hold:
d(n) = summation of (αi + 1). [Here ^ means power]

Click here to see answer by ikleyn(53751) About Me 

Question 1172530: Theresa can do a piece of work in 15 days. After she has worked 3 days, Rowena joins her and they finish work in 4 days. How long can Rowena finish the work alone?
Click here to see answer by VFBundy(438) About Me 
Question 1172530: Theresa can do a piece of work in 15 days. After she has worked 3 days, Rowena joins her and they finish work in 4 days. How long can Rowena finish the work alone?
Click here to see answer by greenestamps(13330) About Me 
Question 1172530: Theresa can do a piece of work in 15 days. After she has worked 3 days, Rowena joins her and they finish work in 4 days. How long can Rowena finish the work alone?
Click here to see answer by josgarithmetic(39792) About Me 

Question 1172765: The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He didn't want to eat them all, so he developed a strange way to decide which ones to eat. With his hundred hands he lined the sheep up in front of him and attached tags labeling the sheep from 1 to 98, from left to right. First he crammed all the sheep into his mouth. Then he spat out all the even-numbered sheep. Then for every sheep with a number divisible by three, he stuffed it into his mouth if it was outside or spat it out if it was already inside. He did the same for every sheep with a number divisible by 4, 5, and so on up to 98. At the end, he devoured the sheep that were left in his mouth. How many sheep were left in the flock after Briareus left?
Click here to see answer by Solver92311(821) About Me 

Question 1173163: The weight of bacteria in a culture t hours after it has been established is given by
W= 2.5 .2^0.04t grams
After what time will the weight reach:
a 4grams. b. 15 grams

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Question 1173194: There are three triples of positive integers (a,b,c, d,e,f and g,h,i) such that a^2 + b^2 + c^2 = d^2 + e^2+ f^2 = g^2 + h^2 + i^2 = 101. What is the sum of abc + def + ghi?
Click here to see answer by ikleyn(53751) About Me 

Question 1173193: Three numbers between 100 and 150 can each be expressed as the sum of two different squares in two different ways. What is the sum of the three numbers?
Click here to see answer by ikleyn(53751) About Me 

Question 1173413: The larger of the two numbers is five more than twice the small number. The sum of the two numbers is 38
Click here to see answer by josgarithmetic(39792) About Me 

Question 1173611: If a number is increased by two-thirds of its opposite, and the sum is increased by 5, the result is 10. Find the number.
Click here to see answer by ewatrrr(24785) About Me 

Question 1173771: The average score of five students in a Mathematics quiz is 140. all of them scored above 138. what is the highest possible score among the students?
Click here to see answer by ikleyn(53751) About Me 

Question 1173829: how long does someone need to invest $1500 at a rate of 0.062% in order to pay off a loan for $1904.5?(what is the formula)
Click here to see answer by greenestamps(13330) About Me 

Question 1174498: The product of a number and -8 gives eight times the sum of that number and 36. What is the number?
Click here to see answer by VFBundy(438) About Me 

Question 1174717: Vanessa must earn at least 360 points to make an A in her pre-algebra class. If she can currently has scores of 82, 91, and 89 points from her three lasts test, how many more points does she need to make an A
Click here to see answer by Theo(13342) About Me 

Question 1174718: Asa is collecting insects for his science project. He has six fewer beetles than twice the number of the other insects. If he has a total of eighteen insects in his collecting, home many beetles die she have
Click here to see answer by ewatrrr(24785) About Me 

Question 1174806: What is the square of a number added 3 times the number is zero
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Question 1174805: The sum of three times a first number, and twice a second number is 14. If the second number is subtracted from twice the first number, the result is 7. What are the numbers?
Click here to see answer by josgarithmetic(39792) About Me 

Question 1174835: how do you write this in math equation The sum of a positive odd integer a and the next greater positive odd integer?
Click here to see answer by ikleyn(53751) About Me 

Question 1174839: "In 16 years, Jose will be thrice as old as he is now." how to translate this into a mathematical phrase or sentence?
Click here to see answer by ikleyn(53751) About Me 

Question 1174984: Find a three-digit number such that the hundreds’ digit minus the tens’ digit is 1, the tens’ digit
minus the units’ digit is 1, and the sum of the digits is 15.

Click here to see answer by math_tutor2020(3835) About Me 
Question 1174984: Find a three-digit number such that the hundreds’ digit minus the tens’ digit is 1, the tens’ digit
minus the units’ digit is 1, and the sum of the digits is 15.

Click here to see answer by ikleyn(53751) About Me 
Question 1174984: Find a three-digit number such that the hundreds’ digit minus the tens’ digit is 1, the tens’ digit
minus the units’ digit is 1, and the sum of the digits is 15.

Click here to see answer by MathTherapy(10806) About Me 

Question 1174986: Serge’s outgoing 115-kilometer bike involved riding uphill for 2 hours and on level ground for 3
hours. On the return trip, on a different 135-kilometer trail, he rode downhill for 2 hours and on
level ground for 3 hours. Determine Serge’s three speeds if his speed on level ground is the
average of his uphill and downhill speeds.

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Question 1175207: the product of two numbers is -30 and their sum is -1. what are the two numbers
Click here to see answer by ewatrrr(24785) About Me 

Question 1175405: Pls help me solve this problem I really need it right now
lynn is (30 - q) years old now represent her age 15years from now

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1175409: A sequence of digits is constructed by writing the digits of consecutive positive
integers (123456789101112 ..... ). What is the digit in the 500th position?

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Question 1175575: The sum of two numbers is seven. The sum is the squares of the two numbers is twenty-five. Find the two numbers.
Click here to see answer by ikleyn(53751) About Me 

Question 1175801: One positive number is 9 times another number. The difference of the two numbers is 744, find the numbers.
The two numbers in increasing order are

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Question 1175802: The value in cents of a dimes and one quarter =
Click here to see answer by MathLover1(20855) About Me 

Question 1175805: Write the following English phrase as an algebraic expression.
Let x represent the unknown number.
Seven less than the square of the sum of twice a number and eleven.

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Question 1175808: In the 2012-2013 NBA season, Dwayne Wade and LeBron James combined for 711 free throws. If James made 95 more free throws than Wade, determine how many free throws each player had.
Dwayne Wade=
LeBron James =

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Question 1175810: The oldest child in a family of four children is three times as old as the youngest. The two middle children are 10 and 22 years old. If the average age of the children is 16, how old is the youngest child?
Click here to see answer by ikleyn(53751) About Me 
Question 1175810: The oldest child in a family of four children is three times as old as the youngest. The two middle children are 10 and 22 years old. If the average age of the children is 16, how old is the youngest child?
Click here to see answer by josgarithmetic(39792) About Me 

Question 1175811: The oldest child in a family of four children is three times as old as the youngest. The two middle children are 10 and 22 years old. If the average age of the children is 16, how old is the youngest child?
Click here to see answer by josgarithmetic(39792) About Me 

Question 1175813: When four times a number is decreased by 3, the result is 9.
a) Write an equation to model the problem. Use x to represent the number.
Answer:
b) Solve the equation to find the number:
Answer:

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Question 1175956: A collection of pennies and nickels has the value of $2.25. There is one more than twice as many nickels as pennies. How many of each coin is there ?
Click here to see answer by Alan3354(69443) About Me 

Question 1056649: One-fifth of a number reduced by double the same number
Click here to see answer by CubeyThePenguin(3113) About Me 

Question 1078421: Which two integers would make each true?
A) the sum of the integers is 23 less than the product
B) the sum of the integers is 28 more than the product
C) the sum of the integers is 73 more than the product

Click here to see answer by CubeyThePenguin(3113) About Me 

Question 1057624: in a computer class of 42 students, 28 like to work on the hardware, 24 like to work on the software while 6 neither like to work on the hardware or software.
How many like to work on both hardware and software?
How many like to work on hardware only?
How many like to work on software only?

Click here to see answer by CubeyThePenguin(3113) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755