# The sum of two consecutive even integers is 106, what are the integers?

Jun 26, 2015

The two consecutive even numbers are $52 \mathmr{and} 54$.

#### Explanation:

Let the smaller of the two consecutive even integers be $x$;
the larger one must be $x + 2$

If their sum is 106:
$\textcolor{w h i t e}{\text{XXXX}}$$\left(x\right) + \left(x + 2\right) = 106$

$\textcolor{w h i t e}{\text{XXXX}}$$2 x + 2 = 106$

$\textcolor{w h i t e}{\text{XXXX}}$$2 x = 104$

$\textcolor{w h i t e}{\text{XXXX}}$$x = 52$