# Four consecutive even numbers have a sum of 92, what are the integers?

Jul 2, 2015

$20$, $22$, $24$ and $26$

#### Explanation:

You can express every even number as $2 n$, the next even number is $2 n + 2$ and so on.
What you're saying translates to this:
$2 n + \left(2 n + 2\right) + \left(2 n + 4\right) + \left(2 n + 6\right) = 92$
$8 n + 12 = 92$
$8 n = 80$
$n = 10$

And since we said that our first even number was $2 n$, it is $2 \cdot 10 = 20$. You can derive from this that the next three are $22$, $24$ and $26$.