# The sum of three consecutive integers is 36, what are the integers?

Jul 3, 2015

So the numbers are as follows: color(blue)(11, 12 , 13

#### Explanation:

Let the three consecutive numbers be :

color(blue)((x), (x+1), ( x+2)

As per the condition given:
$\textcolor{b l u e}{\left(x\right) + \left(x + 1\right) + \left(x + 2\right)} = 36$

$3 x + 3 = 36$

$3 x = 33$

color(blue)(x=11
So the numbers are as follows: color(blue)(11, 12 , 13