# The sum of three consecutive odd integers is 183. How do you find the middle of these numbers?

Jun 5, 2018

I got $61$

#### Explanation:

Let us call our odd numbers:

$2 n + 1$
$2 n + 3$
$2 n + 5$

our condition gives us:

$2 n + 1 + 2 n + 3 + 2 n + 5 = 183$

rearrange:

$6 n = 183 - 9$

so:

$n = \frac{174}{6} = 29$

our middle number will be:

$2 n + 3 = 2 \cdot 29 + 3 = 61$