# What are four consecutive even integers whose sum is 340?

##### 1 Answer
May 31, 2015

Suppose the even numbers are $n$, $n + 2$, $n + 4$ and $n + 6$.

Then

$340 = n + \left(n + 2\right) + \left(n + 4\right) + \left(n + 6\right) = 4 n + 12$

Subtract $12$ from both ends to get

$4 n = 328$

Divide both ends by $4$ to get

$n = 82$

So the four numbers are: $82$, $84$, $86$ and $88$.