SOLUTION: One of the two numbers is greater than the other. if the sum of their reciprocals is 10/20, what are the number?

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Question 1190759: One of the two numbers is greater than the other. if the sum of their reciprocals is 10/20, what are the number?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39627) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
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One of the two numbers is greater than the other. if the sum of their reciprocals is 10/20, what are the number?
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1/x + 1/y = 10/20 = 1/2
(x+y)/xy = 1/2
2x + 2y = xy
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x = 3:
6 + 2y = 3y
y = 6
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x = 5:
10 + 2y = 10y
y = 10/8 = 5/4
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No unique solution.