# How do you find three consecutive even integers if their sum is 36?

May 19, 2018

The numbers are: $10 , 12 , 14$

#### Explanation:

Let the first even number be $x$
then the second even number is $x + 2$
and the third even number is $x + 4$

If you don't understand why for the above, just think of an example. Three consecutive even numbers can be:

$2 , 4 , 6$ or $100 , 102 , 104$ or $4866 , 4868 , 4870$

You can see that consecutive even numbers all have a difference of 2.

Since their sum is 36,
then:
$x + x + 2 + x + 4 = 36$
$3 x + 6 = 36$
$3 x = 30$
$x = 10$

Hence, the numbers are: $10 , 12 , 14$