# The sum of three consecutive odd numbers is 159. What is the smallest of the three numbers?

Nov 1, 2016

$51$

#### Explanation:

Let $n$ represent the least of the odd numbers. Then the next two will be $n + 2$ and $n + 4$. That their sum is $159$ gives us

$n + \left(n + 2\right) + \left(n + 4\right) = 159$

$\implies 3 n + 6 = 159$

$\implies 3 n = 153$

$\therefore n = 51$

Checking, we find that $51 + 53 + 55 = 159$ as desired.