SOLUTION: The product of three positive, consecutive odd integers is 15 times their sum. What are the integers?

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Question 662480: The product of three positive, consecutive odd integers is 15 times their sum.
What are the integers?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of three positive, consecutive odd integers is 15 times their sum.
What are the integers?
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x = middle integer
(x-2) + x + (x+2) = 3x
(x-2)*x*(x+2) = 15*3x = 45x
x%5E3+-+4x+=+45x
x%5E3+=+49x
x = 0 (not an odd number)
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x = 7
--> 5, 7 , 9