# If the sum of three consecutive even integers is 66 what are the integers?

##### 3 Answers

#### Explanation:

Take the first integer as

For example, let's say that you have

So eventually, the equation is

So

#x = 20# #x+2 = 22# #x+4 = 24#

So the three numbers are:

#### Explanation:

You have to 'jump' an odd number to get to the next even number. So even numbers occur every second place (counting in 2's)

Set the first even number as

Then the second is

The third is

Subtract 6 from both sides

Divide both sides by 3

So the three numbers are:

Let us assume the first even number to be

So the other to Consecutive even numbers would be:

So, according to the question,

And so, the three consecutive even numbers which sum up to 66 :

As a check:

The sum of all three should be

Hence it is proved that the 3 no.s are

~Hope this helps! :)