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Geometric and Harmonic Harmony (
Posted on 20141215
)
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)
Comments: (
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re: solution
 Comment 3 of 4 
(In reply to
solution
by Dej Mar)
Dej Mar:
You wrote
120(A+D) = (B+C)
But I think you meant.
120(A+D) = (576/B + 576/C).
In any event, it is not clear to me why you conclude that
576/B and 576/C must both be integers.
Posted by
Steve Herman
on 20141216 12:37:26
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