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 values of x, y, and z so that each expression x to the second power, y to the 3rd power, and z to the 6th power has a value of 64.

unknown values: x,y,z

equation: x^2 = 64

equation: y^3 = 64

equation: z^6 = 64

answer: 8; 4; 2 or -8; 4; 2 or 8; 4; -2 or -8; 4; -2

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

If xy= 7 and x-y= 5, then x^2y - xy^2 =?

unknown values: r

equation: xy=7

equation: x-y=5

equation: r = x^2*y-x*y2

answer: 35

Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?

unknown values: n,n+2

equation: 3(n+2) = n-10

answer: -8; -6

The product of two integers is -24 and the sum of the squares of these 2 integers is 73. What are the integers?

unknown values: m,n

equation: mn = -24

equation: m^2 + n^2 = 73

answer: {3; -8} or {-3; 8}

The second of three numbers is 1 less than the first. The third number is 5 less than twice the second. If the third number exceeds the first number by 12, find the three numbers.

unknown values: x,y,z

equation: y = x - 1

equation: z = 2*y - 5

equation: z = x + 12

answer: 19; 18; 31

If 30% of 40% of a positive # is equal to 20% of w% of the same #, what is the value of w?

unknown values: w

equation: 30/100*40/100*n = 20/100*w/100*n

answer: 60