SOLUTION: Two positive numbers have a difference of 4 and a product of 96. What are the numbers

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Question 294743: Two positive numbers have a difference of 4 and a product of 96. What are the numbers
Answer by stanbon(75887) About Me  (Show Source):
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Two positive numbers have a difference of 4 and a product of 96. What are the numbers
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Equations:
x - y = 4
xy = 96
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Rearrange to get:
x = y+4
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Substitute for "x" and solve for "y":
(y+4)y = 96
y^2 + 4y - 96 = 0
(y-8)(y+12) = 0
Positive solution:
y = 8
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If y = 8 then 8x = 96
x = 12
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Cheers,
Stan H.