# The sum of three consecutive integers is 81. What is the largest integer?

Jul 19, 2016

28

#### Explanation:

Let the first integer be $n$

Then the sum is $n + \left(n + 1\right) + \left(n + 2\right) = 81$

Giving $3 n + 3 = 81$

$\implies 3 n = 78$

$\implies n = \frac{78}{3} = 26$

Thus the largest integer$\to n + 2 = 26 + 2 = 28$