The sum of three consecutive integers is -96. What is the largest integer?

Dec 7, 2015

-31

Explanation:

Let the 3 consecutive integers be $x , x + 1 , x + 2$

This implies $x + x + 1 + x + 2 = - 96$
$3 x + 3 = - 96$
$3 x = - 99$
$x = - 33$
The largest integer of the 3 is $x + 2$=$- 33 + 2$
$= - 31$