# The sum of three consecutive even numbers is 114. What is the smallest of the three numbers?

36

#### Explanation:

We have a number that needs to be even so I'm going to call it $x$. The next two consecutive even numbers are therefore $x + 2 , x + 4$. The sum of these three numbers together is 114, so

$x + \left(x + 2\right) + \left(x + 4\right) = 114$

$3 x + 6 = 114$

$3 x = 108$

$x = 36$

The three numbers are 36, 38, 40.