# The sum of three consecutive numbers is 138. What are the integers?

Aug 14, 2016

The reqd. nos. are, $45 , 46 , 47$

#### Explanation:

If $x$ is the first of three reqd. consecutive nos., then the

succeeding ones are, $x + 1$ , and, $x + 2$.

By what is given, we have,

$x + \left(x + 1\right) + \left(x + 2\right) = 138$

$\Rightarrow 3 x + 3 = 138$

$\Rightarrow 3 x = 138 - 3 = 135$

$\Rightarrow x = \frac{135}{3} = 45$

Hence, the reqd. nos. are, $45 , 46 , 47$