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

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Question 285793: The sum of three numbers is 98. The first number is 2/3 of the second, and the second is 5/8 of the third. What is the second number?
A. 18 B. 20 C. 30 D. 48 E. None of these.
Click here to see answer by Theo(3464)

Question 286002: find three consecutive odd positive intergers such that 2 times the sum of all three is 153 less then the product of the first and second intergers
Click here to see answer by solver91311(16885)

Question 286127: 3 times a certain number plus 7 = 30
Click here to see answer by PRMath(123)

Question 286228: The sum of the digits of a two-digit number is 12. If the digits are interchanged, the number is increased by 54. What is the original number?
Click here to see answer by richwmiller(9135)

Question 286243: The sum of the squares of three consecutive integers is 149. Find the integers.
Click here to see answer by Alan3354(30993)

Question 286377: Find the sum of the digits of the number (10^2007 + 5)/3
A. 6018. B. 6020. C. 6023. D. 6026. E. None of these
Click here to see answer by CharlesG2(828)

Question 286377: Find the sum of the digits of the number (10^2007 + 5)/3
A. 6018. B. 6020. C. 6023. D. 6026. E. None of these
Click here to see answer by Alan3354(30993)

Question 286398: when the second number is subtracted from twice the first number the result is 3 the sum of three times the first number and twice the second number is 8 what are the numbers
Click here to see answer by richwmiller(9135)

Question 286458: Putting These Into Word Problem?
1)The sum of consecutive odd numbers is 39?

Click here to see answer by richwmiller(9135)

Question 286568: one number is four more than twice the second number. Their dirrences is eleven
Click here to see answer by nyc_function(2733)

Question 286566: one number is four more than twice the second number. Their dirrences is eleven
Click here to see answer by nyc_function(2733)

Question 286567: the sum of three consecutive integers is 144. what are the integers?

Click here to see answer by nyc_function(2733)

Question 286567: the sum of three consecutive integers is 144. what are the integers?

Click here to see answer by Alan3354(30993)

Question 286600: The number 9 can be written as the sum of nine consecutive integers. What is the product of these intergers?

Click here to see answer by nabla(475)

Question 286806: Two numbers add to 9. What is the largest possible value for their product?
A. 9/2 B. 81/4 C. 20 D. 18 E. None of these.
Click here to see answer by Alan3354(30993)

Question 287002: What two consecutive number's, when multiplied together, equal the first number plus 16
Click here to see answer by brucewill(101)

Question 287025: A three-digit number is 28 times the sum of its digits. The units digit is twice the tens digit and 3 more than the hundreds digit. Find the number
Click here to see answer by ankor@dixie-net.com(15652)

Question 287090: two pages that face each other in a book have 93 as the sum of their page numbers. What are the page numbers?
Click here to see answer by stanbon(57347)

Question 287127: fourteen less than the square of a number is the same as five times the number. Find the number
Click here to see answer by nyc_function(2733)

Question 287189: The number 4567 is tripled. The ones digit (units digit) in the resulting number is
(A) 5 (B) 6 (C) 7 (D) 3 (E) 1
Click here to see answer by wasim(2)

Question 287214: How many even numbers can be formed from the digits 1, 2, 3, 4 and 5 using each of the digits exactly once?
A. 24 B. 36 C. 48 D. 120 E. None of these.
Click here to see answer by stanbon(57347)

Question 287278: The sum of the digits in a two digit number is 11. If the digits are reversed, the new number will be 45 less than the original number. What is the original number?
Click here to see answer by Stitch(352)

Question 287336: Here is a question that I was asked today by my instructor. Each person has an individualized problem and when I gave my answer today, he made me feel like I was the worst student in the class.
Imagine that:
Using Regular 87 Octane gas gets 15 mpg (miles per gallon) and 20 mpg in the city and highway driving respectively.
Using Regular 89 Octane gas gets 17 mpg (miles per gallon) and 23 mpg in the city and highway driving respectively.
Using Regular 94 Octane gas gets 18 mpg (miles per gallon) and 25 mpg in the city and highway driving respectively.
Cost per gallon for gas is $2.50, $2.60, and $2.70 for Octane rating of 87, 89, and 94 respectively.
Assuming the variable X for city miles and Y for highway miles, write an equation to describe the cost of traveling in the car using the various octane rated gas.
Assuming Grand Ma and Grand Pa lives 400 miles away (120 city and 280 highway), what type of gas will get you there at the cheapest cost and what is the cost?
Using the equations you developed above, what type of gas will get you use and why?
What other factors may affect or change the equations you developed above?

Click here to see answer by richwmiller(9135)

Question 287562: The sum of three numbers is 14. The sum of twice the first number, is 6 times the second number, and 7 times the third number is 77. The difference between 3 times the first number and the second number is 11. Find the three numbers.
Click here to see answer by Grinnell(63)

Question 287620: (-9)^(9) * (-9)^(7)
Click here to see answer by richwmiller(9135)

Question 287583: How many decimal digits are there in the number ?
A. 2005 B. 6621 C. 6620 D. 2004 E. None of these.
Click here to see answer by Edwin McCravy(8909)

Question 287723: I need help find three consecutive odd integers whose squrares have a sum of 155 can you help me?
Click here to see answer by solver91311(16885)

Question 287723: I need help find three consecutive odd integers whose squrares have a sum of 155 can you help me?
Click here to see answer by Alan3354(30993)

Question 287833: Twin primes are a pair of prime numbers that have a difference of 2. How many pairs of twin primes are there less than 100?
a) 6
b) 12
c) 14
d) 16
e) 8
Click here to see answer by CharlesG2(828)

Question 287948: The sum of two numbers is 47, and their difference is 15. what is the larger number?
Click here to see answer by JBarnum(2044)

Question 286943: The opposite of a number is tripled then decreased by 7. The result is 3 greater than twice the number. What is the number?
Click here to see answer by JBarnum(2044)

Question 288055: a number is increased by 50%. the result is then increased by 50%. what single percentage increase is this equivalent to ?
a 75% b 100% c 125% d 200% e 225%

Click here to see answer by richwmiller(9135)

Question 288044: A square of a positive number 500% greater than that number.What number is it?
a) 5 b) 6 c) 7 d) 8 e) 10
Click here to see answer by Alan3354(30993)

Question 288140: What is the minimum number of consecutive even numbers that you must multiply together to be sure that the ones digit of their product is a 0?
a) 4
b) 5
c) 3
d) 2
e) 6
Click here to see answer by checkley77(12569)

Question 288190: The sum of three consecutive odd integers is 405. find the three integers
Click here to see answer by richwmiller(9135)

Question 288281: One Number Is 3 Times Another Number. If The Sum Of The Reciprocals Of The Numbers Is 1/6, What Are The Two Numbers?
Click here to see answer by amnd(23)

Question 288281: One Number Is 3 Times Another Number. If The Sum Of The Reciprocals Of The Numbers Is 1/6, What Are The Two Numbers?
Click here to see answer by Grinnell(63)

Question 288276: Jesse doubled a number and then added 5 to get 4l. If he had first added 5
to the original number and then doubled the result, the answer would have been
(a) 18 (b 41 c) 46 (d) 49 (e) 92

T
Click here to see answer by amnd(23)

Question 229063: what are three positive integers whose sum equals their product?1,2,3 1+2=3+3=6
1*2=2*3=6
Click here to see answer by xtinman61x(2)

Question 229063: what are three positive integers whose sum equals their product?1,2,3 1+2=3+3=6
1*2=2*3=6
Click here to see answer by richwmiller(9135)

Question 288282: The value of - 2 + 3 - 4 + 5 - 6 +. . . - 100 is
(a) -150 (b) =100 (c) -50 (d) -49 (e) 0

Click here to see answer by jim_thompson5910(28595)

Question 288553: The product of two consecutive odd whole numbers is 323. Find the two whole numbers.
Click here to see answer by mananth(12270)

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