Question

Find three consecutive even intergers whose sum is 72

Answer 1

The three numbers are: 22, 24, 26

Consecutive even numbers don't have every number, just the even ones. So, for example, 40, 42, 44 are three consecutive even numbers.

The sum comes from addition.

Let any of the numbers be x (but, remember that the equations change based on which number you pick):

Sum = (x) + (x+2) + (x+4) = 72

3x + 6 = 72 (collect like terms)

3x = 66 (subtract 6 from both sides)

x = 22 (I let x=first number)

Explanation: