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?

Algebra ->  Problems-with-consecutive-odd-even-integers -> 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?      Log On


   



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) About Me  (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:
x%2By=4x
y%5E2-x%5E2=8y
From equation one we get
y=3x Putting this into equation two we get:
%283x%29%5E2-x%5E2=8%283x%29
x%5E2-3x=0
So x=3 and y=9. 5he product of these two integers is 27.