The sum of a number plus half of itself is 18.75. Find the number.

unknown values: n

equation: n + n/2 = 18.75

answer: 25/2 | 12.5

The sum of 1/9, 2/3, and 5/18 is?

unknown values: x

equation: x = 1/9 + 2/3 + 5/18

answer: 19/18 | 1.056

What number is 17% of 200.

unknown values: n

equation: n = 17/100 * 200

answer: 34

Find the number that is 27 greater than twice the opposite of itself.

unknown values: n

equation: n = 27 + 2(-1 * n)

answer: 9

If A denotes the sum of even integers from 2 to 118 inclusive, and B denotes the sum of odd integers from 3 to 119 inclusive, what is the value of B-A?

unknown values: x

equation: a = (2+118)((118-2)/2+1)/2

equation: b = (3+119)((119-3)/2+1)/2

equation: x = b - a

answer: 59

Find two integers such that their sum is -1 and the sum of their squares is 61.

unknown values: x,y

equation: x+y=-1

equation: x^2 + y^2 = 61

answer: {5; -6}

the sum of the digits of a two digit number is 13. The number is 4 more than 5 times the unit digit. find the number.

unknown values: n

equation: n = 10*a + b

equation: a + b = 13

equation: n = 4 + 5*b

answer: 49

If y varies inversely as the square of x and y=5 when x=2.5, what is the value of y when x=9?

unknown values: y

equation: 5 * (2.5*2.5) = k

equation: y * (9*9) = k

answer: 125/324 | 0.386

Find three consecutive integers such that five times the third integer equals twice the first integer plus seven more than the second integer.

unknown values: n,n+1,n+2

equation: 5(n+2) = 2*n + (7 + (n+1))

answer: -1; 0; 1

If log 28 = log 4 + log x, what is the value of x?

unknown values: x

equation: log28 = log4 + log(x)

answer: 7