The sum of 3 consecutive odd integers is 207 what are the integers?

Mar 14, 2016

I found: $67 , 69 , 71$

Explanation:

We can call our integers:
$2 n + 1$
$2 n + 3$
$2 n + 5$
from our condition:
$\left(2 n + 1\right) + \left(2 n + 3\right) + \left(2 n + 5\right) = 207$
solving for $n$:
$6 n + 9 = 207$
$6 n = 207 - 9$
$6 n = 198$
so:
$n = \frac{198}{6} = 33$
Our integers will then be:
$2 n + 1 = 67$
$2 n + 3 = 69$
$2 n + 5 = 71$