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

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