# How do you find three consecutive even integers whose sum is 138?

May 8, 2016

The integers are:
 color(blue)(44 , 46 and color(blue)(48

#### Explanation:

Let the three consecutive even integers be denoted as :

color(blue)( x , x+2 , x+4

$x + x + 2 + x + 4 = 138$

$3 x + 6 = 138$

$3 x = 138 - 6$

$3 x = 132$

$x = \frac{132}{3}$

$x = 44$

The integers are:

•  x = color(blue)(44
• x + 2 = color(blue)(46
• x + 4 = 44 +4 = color(blue)(48