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Going Cyclic With Arithmetic (Posted on 2009-06-08) Difficulty: 2 of 5
Three 3-digit positive base N integers P, Q and R, each with no leading zeroes and having the restriction P < Q < R, are such that:

  • Q is the arithmetic mean of P and R, and:
  • 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    
Rating: 3.0000 (1 votes)

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  Subject Author Date
Some Thoughtsre: Cycling Backwards (spoiler)Steve Herman2009-06-10 01:18:16
Cycling Backwards (spoiler)Harry2009-06-10 00:49:08
SolutionAnalytical solution (spoiler)Steve Herman2009-06-08 22:33:03
Solutioncomputer solutionCharlie2009-06-08 13:54:28
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