# If the sum of three consecutive odd integers is 201, what are the integers?

Jun 22, 2016

$\textcolor{b l u e}{65 , 67 , 69}$

#### Explanation:

If the middle number is $n$
then the tree numbers are $n - 2 , n , \mathmr{and} n + 2$
and
their sum is $3 n$

We are told that the sum is $201$
So
$\textcolor{w h i t e}{\text{XXX}} 3 n = 201$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow n = 67$

So the numbers are $65 , 67 , \mathmr{and} 69$