SOLUTION: The sum of two positive integers is 4 times the smaller. The positive difference of their squares is 8 times the larger. What is the product if the two integers?

Question 639078: The sum of two positive integers is 4 times the smaller. The positive difference of their squares is 8 times the larger. What is the product if the two integers?
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
Let x be the smaller of the two integers and y be the larger. We are given that:

From equation one we get
Putting this into equation two we get:

So x=3 and y=9. 5he product of these two integers is 27.
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