# The sum of three consecutive odd integers is -15 what are the three integers?

Feb 12, 2016

The three consecutive integers are -7, -5, -3

#### Explanation:

The three consecutive odd integers can be represented algebraically by

$n$
$n + 2$
$n + 4$

Since they are odd the increases must be by units of two.

The sum of the three numbers is -15

$n + n + 2 + n + 4 = - 15$
$3 n + 6 = - 15$
$3 n + 6 - 6 = - 15 - 6$
$3 n = - 21$
$\frac{3 n}{3} = - \frac{21}{3}$
$n = - 7$
$n + 2 = - 5$
$n + 4 = - 3$