# Whats three consecutive even integers whose sum is 54?

##### 2 Answers

16, 18, 20

#### Explanation:

To get to the next even number you have to 'jump over' an odd number. So every second number is even if you start from one.

Let the first even number be

Adding these up (their sum) we have:

Their sum is

Subtract 6 from both sides

Divide both sides by 3

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First number

Second number

Third number

#### Explanation:

Let

We can write the problem as:

Add like terms:

Rearrange and solve for

Therefore our three consecutive even integers are