SOLUTION: One positive number exceeds another by 4, and their product is 96. Find the numbers.

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Question 861465: One positive number exceeds another by 4, and their product is 96. Find the numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = y + 4
xy = 96

Substitute x = y + 4 into the second equation.

(y+4)(y) = 96
y^2 + 4y - 96 = 0
(y + 12)(y - 8) = 0

The integers are positive, so y = 8 and x = 12.