# If the sum of three consecutive integers is 84, what are the integers?

Mar 2, 2016

$27 , 28 , 29$

#### Explanation:

Call the first integer $n$. Then, the next two consecutive integers must be $n + 1$ and $n + 2$. Since all three integers' sum is $84$, we can say that

$n + \left(n + 1\right) + \left(n + 2\right) = 84$

Grouping like terms:

$3 n + 3 = 84$

$3 n = 81$

$n = 27$

Thus the other two integers are $28$ and $29$.