# How do you find three consecutive integers whose sum is -30?

May 13, 2016

The integers are
color(blue)(-11 , -10 and  color(blue)(- 9

#### Explanation:

Let us denote the three consecutive integers as:

$x , x + 1$ and $x + 2$

Their sum is $- 30 :$

$x + x + 1 + x + 2 = - 3 0$

$3 x + 3 = - 3 0$

$3 x = - 3 0 - 3$

$3 x = - 33$

$x = - \frac{33}{3}$

$x = - 11$

The three integers are:

1. x = color(blue)(-11

2. x + 1 = - 11 + 1 =color(blue)( -10

3.  x + 2 = - 11 + 2 = color(blue)(- 9