# The sum of two consecutive even integers is -34. What is the smaller integer?

Jul 12, 2018

$- 18 , - 16$

#### Explanation:

We know that an even number always takes the form of $2 n , \forall n \in \mathbb{Z}$. So the consecutive even number will be $2 n + 2$.

Therefore we have:

$2 n + 2 n + 2 = - 34$

$4 n + 2 = - 34$

$4 n = - 36$

$\therefore 2 n = - 18 , 2 n + 2 = - 16$

Therefore the two consecutive even integers are $- 18$ and $- 16$.