# Two consecutive even integers have a sum of 34. How do you find the integers?

Jan 22, 2016

$16 , 18$

#### Explanation:

The consecutive even integers could be expressed as $n$ and $n + 2$.

Thus, $n + \left(n + 2\right) = 34$, which simplifies to be $2 n + 2 = 34$. Solve this to see that $2 n = 32$ so $n = 16$.

Since $16$ is an even integer, the next even integer will be $16 + 2 = 18$.

$16 + 18 = 34$ and $16 , 18$ are consecutive even integers.