# How do you find three consecutive odd integers that have a sum of 123?

Jun 4, 2018

$39 , 41 , 43$

#### Explanation:

Odd integers that are consecutive are $2$ apart.

So if the smallest odd integer is called $n$, then the next two odd integers are $n + 2$ and $n + 4$.

We want the sum to be $123$, so

$n + \left(n + 2\right) + \left(n + 4\right) = 123$

$3 n + 6 = 123$

$3 n = 117$

$n = 39$

So the three consecutive odd numbers are: $39 , 41 , 43$