# The sum of three consecutive even integers is 72. What are the three integers?

Mar 27, 2018

$22 , 24 , 26$

#### Explanation:

Let the first integer be $n$ then the next even is $n + 2$ and then $n + 4$

$\implies n + n + 2 + n + 4 = 72$

Simplifying...

$\implies 3 n + 6 = 72$

$\implies 3 n = 66$

$\implies n = 22$

Hence integers are $n$ , $n + 2$ , $n + 4$

$\implies 22 , 24 , 26$