# The sum of three consecutive even integers is 228, how do you find the integers?

##### 1 Answer

Jan 26, 2016

#### Explanation:

Let the first of your integers be

As you are only looking at even integers, the next consecutive even integer would be

You know that their sum is

#x + (x+2) + (x + 4) = 228#

#<=> color(white)(xxx) x + x + 2 + x + 4 = 228#

#<=>color(white)(xxxxxxxxxxx) 3x + 6 = 228#

Subtract

#<=> 3x = 222#

Divide by

#<=> x = 74#

Thus, your consecutive even integers are