# How do you find three consecutive even integers such that the sum of twice the first and third is 40?

Jul 2, 2018

$x = \frac{38}{3}$

#### Explanation:

Three consecutive numbers means $x$, $x + 1$, $x + 2$.

Twice the first means $2 x$, the third is $x + 2$

Sum them and equal $40$:

$2 x + x + 2 = 40$

$3 x + 2 = 40$

$3 x = 38$

$x = \frac{38}{3}$