# If the sum of three consecutive even integers is -30, what are the integers?

Apr 26, 2016

Three even integers are $- 12$, $- 10$ and $- 8$.

#### Explanation:

Let the three even integers be $x$, $x + 2$ and $x + 4$. Hence,

$x + x + 2 + x + 4 = - 30$ or

$3 x + 6 = - 30$ or $3 x = - 30 - 6 = - 36$

or $x = - \frac{36}{3} = - 12$

Hence three even integers are $- 12$, $- 10$ and $- 8$.