# The sum of 3 consecutive odd integers is -129, how do you find the integers?

Mar 15, 2018

I got: $- 45 , - 43 \mathmr{and} - 41$

#### Explanation:

Consider our three odd integers as:
$2 n + 1$
$2 n + 3$
$2 n + 5$

So that:

$2 n + 1 + 2 n + 3 + 2 n + 5 = - 129$

$6 n + 9 = - 129$

$n = - \frac{138}{6} = - 23$

so that the numbers will be:

$2 n + 1 = - 45$
$2 n + 3 = - 43$
$2 n + 5 = - 41$