perplexus.info :: Just Math : Mean Muse

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

No (x,y) satisfies the problem conditions.
For an explanation, refer to the solution submitted by xdog in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	solution	xdog	2014-04-21 12:41:00

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