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

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Question 217051: Why is it that you can use the same expressions to represent either consecutive odd or consecutive even integers?
Click here to see answer by stanbon(57307)

Question 217115: Find three consecutive even integers such that three times the middle integers is 10 more than the greatest

answer:x=2 the integers are 4,6,8
anyone tell me how my text book got this answer full break down thank you
Click here to see answer by nerdybill(6958)

Question 217194: Ms. Jones invested $18,000 in two accounts. One account pays 6% simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account?
i got stuck after .06x + .08( 1800-x)=$1,290

can anyone help i know that answer is 7,500 with 6 % interest and 10,500 in the account paying 8% interest but why is the answer x=7,500
Click here to see answer by rfer(12657)

Question 217279: A garden table and a bench cost $600 combined. The price of the garden table is three times the price of the bench. What is the cost of the bench?
Click here to see answer by chibisan(131)

Question 217281: How many Liters of a 40% solution and a 16% solution must be mixed to obtain 20 liters of a 22% solution? from there i got the equation .4x + .16(20-x)= 20(.22)

from .4x+ .16(20-x)= 20 (.22) how is the answer x=5 and is 5 liters at 40% and 15 liters at 16%

need a break down of how to get x=5, 5 liters at 40 %, and 15 liters at 16%
Click here to see answer by rfer(12657)

Question 217251: Jonathon is 4 years younger than his brother in 5 years the sum of there ages will be 32. How old is Jonathon?
Please give me step-by-step solution...Thanks.

Click here to see answer by chibisan(131)

Question 217282: The question asks the sum of three consecutive even intergers is 30 more than the largest. What will be the intergers? The domain for the smallest intergers: {14, 18, 20} Can you help me? Is there a 5 step plan I can use?
Click here to see answer by drj(1380)

Question 217303: Three times the sum of twice a number and five is equal to five less than the number. What is the number?
Click here to see answer by RAY100(1637)

Question 217303: Three times the sum of twice a number and five is equal to five less than the number. What is the number?
Click here to see answer by drj(1380)

Question 217493: What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 1 when divided by 3, and a remainder of 2 when divided by 5?
Click here to see answer by RAY100(1637)

Question 217495: What is the units digit of the quotient when 10! is divided by 52?
Click here to see answer by RAY100(1637)

Question 217497: Given any positive even integer, x, the positive difference between the smallest odd number greater than 7x − 2 and the largest odd number less than 3x + 5 can be written in the form ax + b. What is a + b?
Click here to see answer by RAY100(1637)

Question 217487: What is the sum of the positive multiples of 13 that are less than 300?
Click here to see answer by rfer(12657)

Question 217487: What is the sum of the positive multiples of 13 that are less than 300?
Click here to see answer by MathTherapy(1423)

Question 217651: the squares of 2 consecutive odd numbers differ by 88, what are the numbers?
Click here to see answer by RAY100(1637)

Question 217489: A palindrome is a number that reads the same forwards and backwards. The sum of a particular set of three consecutive positive integers is a three-digit palindrome. If the sum is less than 220, what is the greatest possible value for the largest of the three integers in the set?
Click here to see answer by ankor@dixie-net.com(15649)

Question 217724: A palindrome is a number that reads the same forwards and backwards. The sum of a particular set of three consecutive positive integers is a three-digit palindrome. If the sum is less than 220, what is the greatest possible value for the largest of the three integers in the set?
Click here to see answer by ankor@dixie-net.com(15649)

Question 217765: a group of frieand share a bill for 13.69 equally between them.how many were in the group?
Click here to see answer by Alan3354(30993)

Question 217786: The sum of two positive numbers is 24. Find a function that models their product P in terms of x, one of the numbers.

Click here to see answer by stanbon(57307)

Question 217829: The sum of two consecutive intergers is 237. Find the two intergers.
Click here to see answer by rfer(12657)

Question 217829: The sum of two consecutive intergers is 237. Find the two intergers.
Click here to see answer by drj(1380)

Question 217863: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.
Click here to see answer by checkley77(12569)

Question 217893: The sum of four consecutive integers is 54. What is the largest of these integers?
Click here to see answer by Alan3354(30993)

Question 217850: Two numbers such that one is 30% more than the other.
Answer is x & 1/3x, But HOW do you get the 1/3?
Click here to see answer by ankor@dixie-net.com(15649)

Question 217948: Three Consecutive Even Integers
Click here to see answer by RAY100(1637)

Question 217894: Duhwa is 4 years more than 22 times as old Amy. If the sum of their ages is 96, how old is Duhwa?
Click here to see answer by checkley77(12569)

Question 217940: Two numbers such that one is 30% more than the other.
Answer is x and 1.3 x. But HOW do you get to the answer is my question.
Click here to see answer by scott8148(6628)

Question 217961: Write an equation to represent the problem. For two consecutive odd integers, the sum of three times the smaller and the larger is 14.
Click here to see answer by scott8148(6628)

Question 217989: there are three consecutive numbers whose sum is 183
Click here to see answer by rfer(12657)

Question 217987: here are three consecutive numbers whose sum is 183
Click here to see answer by rfer(12657)

Question 217993: the sum of two numbers is 174. the second number is 6 less then three times the first. find the two numbers
Click here to see answer by rfer(12657)

Question 218000: A rectangle is twice as wide as it is long. If the area is 578 square meters, what are the dimensions of the rectangle?
Click here to see answer by checkley77(12569)

Question 217899: tripling the greater of 2 consectutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?
Click here to see answer by ankor@dixie-net.com(15649)

Question 218132: Find two positive numbers so that twice the sum equals their product and one number is 6 times the other number
Click here to see answer by RAY100(1637)

Question 218134: two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.
Click here to see answer by RAY100(1637)

Question 218134: two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.
Click here to see answer by drj(1380)

Question 218133: two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.
Click here to see answer by RAY100(1637)

Question 218144: the sum of two consecutive odd intergers is not less than -12.
Click here to see answer by RAY100(1637)

Question 218239: Three consecutive odd integers are such that the square of the third integer is 15 greater than the sum of the squares of the first two. One solution is 3, 5, and 7.Find three other consecutive odd integers that also satisfy the given conditions.
Click here to see answer by Alan3354(30993)

Question 218379: The product of two consecutive positive odd integers is 255. What are the integers?
Click here to see answer by vleith(2825)

Question 218361: One number is seven more than twice another. If their sum is decreased by nine, the result is thirteen. Find the numbers.
Click here to see answer by drj(1380)

Question 218403: what are 2 consecutive 2-digit numbers whose product is 812?
Click here to see answer by Fombitz(13828)

Question 218403: what are 2 consecutive 2-digit numbers whose product is 812?
Click here to see answer by rfer(12657)

Question 218420: How do I find four consecutive odd integers when the sum is 136?
Click here to see answer by Alan3354(30993)

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