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Question 387457: The sum of two numbers is 60, and the sum of their reciporcals is 5/72. What are the numbers?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The sum of two numbers is 60, and the sum of their reciprocals is 5/72. What are the numbers?
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Equations:
x + y = 60
1/x + 1/y = 5/72
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x = 60-y
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Substitute for "x" and solve for "y":
1/(60-y) + 1/y = 5/72
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72y + 72(60-y) = 5y(60-y)
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72*60 = 300y-5y^2
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5y^2-300y+72*60 = 0
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y^2-60y+12*72 = 0
(y-36)(y-24) = 0
y = 36 or y = 24
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If y = 36, x = 24
If y = 24, x = 36
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cheers,
stan H.
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