# The sum of three consecutive integers is 216. What is the largest of the three integers?

Jun 22, 2016

The largest number is 73

#### Explanation:

Let the first integer be $n$

Then $n + \left(n + 1\right) + \left(n + 2\right) = 216$

$\implies 3 n + 3 = 216$

Subtract 3 from both sides

$3 n = 213$

Divide both sides by 3

$n = 71$

So the largest numbr $\to n + 2 = 71 + 2 = 73$