# Two consecutive odd integers add up to 76. What are the numbers?

Aug 18, 2016

$76 = \textcolor{g r e e n}{37 + 39}$

#### Explanation:

If the first odd integer is $\textcolor{red}{n}$
then the second odd integer will be $\textcolor{b l u e}{n + 2}$
and there sum will be
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{n} + \textcolor{b l u e}{n + 2} = 76$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 2 n + 2 = 76$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 2 n = 74$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow n = 37$

So the two numbers are $\textcolor{red}{n = 37}$ and $\textcolor{b l u e}{n + 2 = 39}$