# The sum of the three consecutive integers is 71 less than the least of the integers how do you find the integers?

May 27, 2015

Let the least of the three consecutive integers be $x$

The sum of the three consecutive integers will be:
$\left(x\right) + \left(x + 1\right) + \left(x + 2\right) = 3 x + 3$

We are told that
$3 x + 3 = x - 71$

$\rightarrow 2 x = - 74$

$\rightarrow x = - 37$

and the three consecutive integers are
$- 37 , - 36 , \mathmr{and} - 35$