# Three consecutive integers have a sum of 84, how do you find the integers?

Jan 21, 2016

To solve this, you represent the the question as:
$x + \left(x + 1\right) + \left(x + 2\right) = 84$

#### Explanation:

Three consecutive integers can be represented as $x , x + 1 , x + 2$.
If those three integers sum to 84, then
$x + \left(x + 1\right) + \left(x + 2\right) = 84$
and then we simplify
$x + x + 1 + x + 2 = 84$
$3 x + 3 = 84$
$3 x = 84 - 3$
$x = \frac{81}{3} = 27$
so

$x = 27$
$x + 1 = 28$
$x + 2 = 29$