The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is -9. The third, plus 5 times the first, plus the second, is 24. What are the numbers?

The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is -9. The third, plus 5 times the first, plus the second, is 24. What are the numbers?

unknown values: x,y,z

equation: x + y + z = 4

equation: x - y + 4*z = -9

equation: z + 5*x + y = 24

answer: 5; 2; -3

Five times a number is equal to another number. Their difference is 52. Find the smaller number.

unknown values: y

equation: 5*x = y

equation: x - y = 52

answer: 13 | -65

how many permutations of digits in the number 12345 will make an even number?

unknown values: n

equation: n = 2 * (4 * 3 * 2 * 1)

answer: 48

Two angels are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. What is the measure of the smaller angle and what is the measure of the other angle?

unknown values: x,y

equation: x+y=90

equation: x + y/2 = 68

answer: 44; 46

how many 1/4 ounces are in 56 pounds?

unknown values: x

equation: x*(1/4) = 56 * 16

answer: 3584

what is the value for x in the following linear system of equations?x - y = 52x + y = 7

unknown values: x

equation: x - y = 5

equation: 2*x + y = 7

answer: 4

16 over 24 minus 18 over 24?

unknown values: x

equation: x = 16/24 - 18/24

answer: -1/12 | -0.0833

The sum of the digits of a two digit number is 7. The tens' digit is 3 more than the ones' digit. What is the number?

unknown values: n

equation: n = 10*a + b

equation: a + b = 7

equation: a = b + 3

answer: 52

The quotient of -54 and 9, subtracted from 8 times a number, is -18. What's the number?

unknown values: n

equation: 8*n - (-54)/9 = -18

answer: -3

Find three consecutive odd integers such that triple the middle integer is 5 more than twice the largest integer.

unknown values: 2*n+1,2*n+3,2*n+5

equation: 3(2*n+3) = 5 + 2(2*n+5)

answer: 7; 9; 11