# If four times a certain even integer diminished by 16 is equal to twice its next consecutive even integer, how do you find the numbers?

Sep 7, 2015

I found $10 \mathmr{and} 12$

#### Explanation:

call your even integer $2 n$ we can write:
$\left(4 \times 2 n\right) - 16 = 2 \left(2 n + 2\right)$
So you get:
$8 n - 16 = 4 n + 4$
$4 n = 20$
$n = 5$
$2 n = 2 \cdot 5 = 10$
$2 n + 2 = 10 + 2 = 12$