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

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Question 101356: THE SUM OF FOUR CONSECUTIVE EVEN NUMBERS IS 28.FIND the numbers.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive even integers follow the form: 2x, 2x%2B2, 2x%2B4, ...., etc.


So the product of four consecutive even integers is:

2x%2B%282x%2B2%29%2B%282x%2B4%29%2B%282x%2B6%29=28




8x%2B12=28 Combine like terms on the left side


8x=28-12Subtract 12 from both sides


8x=16 Combine like terms on the right side


x=%2816%29%2F%288%29 Divide both sides by 8 to isolate x



x=2 Divide

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Answer:
So our answer is x=2


That means our first number is....

2%282%29=4

So our first number is 4


Our second number is simply 2 more than 4

4%2B2=6

So our second number is 6



Our third number is simply 2 more than 6

6%2B2=8

So our third number is 8


Our fourth number is simply 2 more than 8

8%2B2=10

So our fourth number is 10



So our 4 consecutive even integers are

4,6,8, and 10


Check:

4%2B6%2B8%2B10=28 Add up every integer. They should add to 28


28=28 Since they do, the equation is true. So our answer is verified