# The sum of 3 consecutive even integers is 102. What are the numbers?

Aug 19, 2016

Numbers are $32$, $34$ and $36$.

#### Explanation:

Let the three consecutive even numbers be $x$, $x + 2$ and $x + 4$. Then

$x + x + 2 + x + 4 = 102$ or

$3 x + 6 = 102$ or

$3 x = 102 - 6 = 96$ and

$x = \frac{96}{3} = 32$

Hence, numbers are $32$, $34$ and $36$.