# The sum of three consecutive even integers is 114, what are the integers?

Jun 29, 2015

$36 , 38 , 40$

#### Explanation:

Let $x$ be the smallest of these three numbers.
The next even number is, obviously, $x + 2$.
The third one is $x + 4$.

So, $x + \left(x + 2\right) + \left(x + 4\right) = 114$ or $3 x + 6 = 114$
From this equation we derive:
$x = 36$
from which follows:
$x + 2 = 38$
$x + 4 = 40$