SOLUTION: One number is two more than twice another, their product is 60. Determine both numbers

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Question 919673: One number is two more than twice another, their product is 60. Determine both numbers
Answer by stanbon(75887) About Me  (Show Source):
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One number is two more than twice another, their product is 60. Determine both numbers
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Equations:
x = 2y + 2
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xy = 60
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Substitute for "x" and solve for "y"::
(2y+2)y = 60
2(y+1)y = 60
y^2+y = 30
y^2+y-30 = 0
Factor::
(y+6)(y-5) = 0
Positive solution::
y = 5
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Since xy = 60 m x = 60/5 = 12
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Cheers,
Stan H.
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