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|Mean Muse (Posted on 2014-04-18)
Let gm(x,y) and hm(x,y) respectively denote the geometric mean and harmonic mean of x and y.
Given that each of x, y, gm(x,y) and hm(x,y) is a positive integer:
Can gm(x,y) = hm(x,y)+1?
If so, give an example. If not, prove it.
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