SOLUTION: THE SUM OF FOUR CONSECUTIVE EVEN NUMBERS IS 28.FIND the numbers.

Question 101356: THE SUM OF FOUR CONSECUTIVE EVEN NUMBERS IS 28.FIND the numbers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Consecutive even integers follow the form: , , , ...., etc.

So the product of four consecutive even integers is:

Combine like terms on the left side

Subtract 12 from both sides

Combine like terms on the right side

Divide both sides by 8 to isolate x

Divide

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Answer:
So our answer is

That means our first number is....

So our first number is 4

Our second number is simply 2 more than 4

So our second number is 6

Our third number is simply 2 more than 6

So our third number is 8

Our fourth number is simply 2 more than 8

So our fourth number is 10

So our 4 consecutive even integers are

4,6,8, and 10

Check:

Add up every integer. They should add to 28

Since they do, the equation is true. So our answer is verified
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