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The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs  (x,y) of positive integers is the harmonic mean of  and  equal to 20?

 Aug 8, 2018
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Well. I got 5 pairs as follows:

{11, 110}, {12, 60}, (14, 35}, {15, 30}, {20, 20}

 Aug 8, 2018

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