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Geometric and Harmonic Harmony (Posted on 2014-12-15) Difficulty: 3 of 5
Find four positive integers A < B < C < D that satisfy both of these conditions:

(i) The geometric mean of A and D is 24, and:
(ii) The harmonic mean of A, B, C and D is 19.2

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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solution (no proof) | Comment 1 of 4
12, 16, 24, 48 is one such set.

I cannot say whether there are other solutions.
  Posted by Paul on 2014-12-15 16:34:06
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