The sum of 3 consecutive EVEN integers is 174. What is the first integer?

unknown values: x

equation: x + 2 = y

equation: y + 2 = z

equation: x + y + z = 174

answer: 56

The sum of three consecutive numbers is 72. What are the smallest of these numbers?

unknown values: x

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 72

answer: 23

What is the sum of five consecutive odd integers if the middle integer is 71?

unknown values: m

equation: x + 2 = y

equation: y + 2 = 71

equation: 71 + 2 = z

equation: z + 2 = a

equation: m = x + y + 71 + z + a

answer: 355

The sum of the digits of a 2-digit number is 7. If the digits are reversed, the new number is 9 less than the original number. Find the original number.

unknown values: m

equation: m = 10*x + y

equation: x + y = 7

equation: 10*y + x = m - 9

answer: 43

The numerator of a fraction is 7 more than twice the denominator. The reciprocal of the fraction equals 0.4. Find the fraction.

unknown values: m

equation: m = x/y

equation: x = 2*y + 7

equation: y/x = 0.4

answer: 5/2 | 2.5

The denominator of a fraction is 1 more than the numerator. when (5/6) is added to the fraction, the terms of the fraction are reversed. what is the original fraction?

unknown values: a

equation: x/y = a

equation: y - 1 = x

equation: x/y + 5/6 = y/x

answer: 2/3

A number plus five, divided by two, added to the quotient of that same number minus one, divided also by two, has a sum of that number minus one, divided by three.

unknown values: x

equation: (x + 5) / 2 + (x - 1) / 2 = (x -1) / 3

answer: -7/2 | -3.5

Find 2 numbers whose difference is 10 and 1/6 of whose sum is 11.

unknown values: x, y

equation: x - y = 10

equation: 1/6 * (x + y) = 11

answer: {38; 28}

Take a number, multiply it by 8, subtract 8, divide by 12, and double the quotient. the result is 20. what is the number?

unknown values: x

equation: ((8*x - 8) / 12)*2 = 20

answer: 16

3 times the first of three consecutive numbers is 4 more than 2 times the second. Find the numbers.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: 3*x = 2*y + 4

answer: 6; 7; 8