# What are three odd consecutive integers whose sum is 159?

Aug 23, 2016

The three odd consecutive numbers are $51$, $53$ and $55$.

#### Explanation:

Let three odd consecutive numbers be $x$, $x + 2$ and $x + 4$. As their sum is $159$

$x + x + 2 + x + 4 = 159$ or

$3 x + 6 = 159$ or

$3 x = 159 - 6 = 153$ or

$x = \frac{153}{3} = 51$

Hence three odd consecutive numbers are $51$, $53$ and $55$.