# How do you find 3 consecutive odd integers such that the sum of the first and third is 14?

Jul 31, 2015

#### Answer:

I found $5 , 7 , 9$

#### Explanation:

I would call the integers:
$2 n + 1$
$2 n + 3$
$2 n + 5$
so you get that:
$\left(2 n + 1\right) + \left(2 n + 5\right) = 14$
$4 n + 6 = 14$
$4 n = 8$
so $n = 2$
and your integers will be:
$2 n + 1 = 5$
$2 n + 3 = 7$
$2 n + 5 = 9$