# What 3 consecutive integers add up to 100?

Aug 7, 2016

Have a look:

#### Explanation:

Call the integers:
$n$
$n + 1$
$n + 2$
You have that:
$n + \left(n + 1\right) + \left(n + 2\right) = 100$
$3 n + 3 = 100$
$3 n = 97$
$n = \frac{97}{3}$
$n = 32.3$
So we can choose:
$32 , 33 \mathmr{and} 35$
But they are not conecutive because of the $35$.