# If the sum of three consecutive integers is 81 then what are the three integers?

Jan 1, 2017

$26 , 27 , 28$

#### Explanation:

Denote the middle integer by $n$. Then the three consecutive integers are:

$n - 1 , n , n + 1$

Then we have:

$81 = \left(n - 1\right) + n + \left(n + 1\right) = 3 n$

Dividing both ends by $3$ we find:

$n = 27$

So the three integers are:

$26 , 27 , 28$