# If the sum of three consecutive numbers is -96, what ids the largest number?

Mar 29, 2017

largest: $- 31$

#### Explanation:

Let the three consecutive integers be:
$\textcolor{w h i t e}{\text{XXX}} n - 1 , n , \mathmr{and} n + 1$

The sum of the three consecutive integers must be:
$\textcolor{w h i t e}{\text{XXX}} 3 n = - 96$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow n = - 32$

and the largest of the three consecutive integers must be:
$\textcolor{w h i t e}{\text{XXX}} n + 1 = - 31 + 1 = - 31$