SOLUTION: find three consecutive even integers such that five times the smallest plus three time the largest will result in the middle integer plus 80

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Question 760554: find three consecutive even integers such that five times the smallest plus three time the largest will result in the middle integer plus 80
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The setup:
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The three consecutive even integers are A, B & C
Let B = A + 2
Let C = A + 4
5A+%2B+3%2A%28A+%2B+4%29+=+%28A+%2B+2%29+%2B+80
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Simplify the equation by multiplying the 3 through
5A+%2B+3A+%2B+12+=+A+%2B+82
Combine like terms
8A+%2B+12+=+A+%2B+82
Subtract A from both sides
7A+%2B+12+=+82
Subtract 12 from both sides
7A+=+70
Divide both sides by 7
highlight%28A+=+10%29
Now solve for B & C
B+=+A+%2B+2
B+=+%2810%29+%2B+2
highlight_green%28B+=+12%29
C+=+A+%2B+4
C+=+%2810%29+%2B+4
highlight%28C+=+14%29