Question 390649: The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?
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Equations:
x + y = 31
xy = 150
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Modify:
x = 31-y
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Substitute:
(31-y)y = 150
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Solve:
-y^2+31y-150 = 0
y^2-31y+150 = 0
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Factor:
y^2- 25y-6y + 150 = 0
y(y-25)-6(y-25) = 0
(y-25)(y-6) = 0
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y = 25, then x = 6
OR
y = 6, then x = 25
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Cheers,
Stan H.
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