SOLUTION: Find the largest of the four even whole numbers whose sum is 100

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Question 345497: Find the largest of the four even whole numbers whose sum is 100
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let the even numbers(Note:*differ by 2) be n, (n+2), (n+4) and (n+6)
The question states the following to be true:
n%2B+%28n%2B2%29%2B+%28n%2B4%29%2B%28n%2B6%29=100
.
Combine like terms and solve
n%2B+n%2B2%2B+n%2B4%2Bn%2B6=100
.
4n%2B+12=100
subtract 12 from both sides of the equation
4n=88
divide both sides of the equation by 4
n=22 %28n%2B6%29+=+28 28 is the largest
.
Check your answer!
22 + 24 + 26 +28 = 100