# How do you find three consecutive integers with a sum of 267?

Mar 17, 2016

Replace the integers with $x , x + 1$ and $x + 2$ and solve the resulting linear equation.

#### Explanation:

If the first integer is $x$, then the other two are $x + 1$ and $x + 2$.

The sum is
$x + \left(x + 1\right) + \left(x + 2\right) = 267$

$3 x + 3 = 267$
$3 x = 267 - 3 = 264$

$x = 88$