SOLUTION: one number is twice another number. the sum of their reciprocals is one half. find the numbers

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Question 586957: one number is twice another number. the sum of their reciprocals is one half. find the numbers
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one number is twice another number. the sum of their reciprocals is one half. find the numbers
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Equations:
x = 2y
1/x + 1/y = 1/2
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Substitute for "x" and solve for "y":
1/2y + 1/y = 1/2
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Multiply thru by 2y to get:
1 + 2 = y
y = 3
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Solve for "x":
x = 2y
x = 6
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Cheers,
Stan H.