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Going Cyclic With Harmonic (Posted on 2009-11-03) Difficulty: 3 of 5
Three 3-digit non leading zero positive base N integers P, Q and R, with P > Q > R, are such that:

(i) Q is the harmonic mean of P and R, and:

(ii) P, Q and R can be derived from one another by cyclic permutation of digits.

Determine all possible positive integer values of N ≤ 30 for which this is possible.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsMay not be doing this rightJim Keneipp2009-11-03 17:49:07
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