# The sum of two consecutive even numbers is 38. How do you find the numbers?

Nov 18, 2016

$18$ and $20$.

#### Explanation:

Let the two numbers be $x$ and $\left(x + 2\right)$. We can write:

$x + \left(x + 2\right) = 38$

Open the brackets and simplify.

$x + x + 2 = 38$

$2 x + 2 = 38$

Subtract $2$ from each side.

$2 x = 36$

Divide both sides by $2$.

$x = 18$

$\therefore \left(x + 2\right) = 20$