Three 3-digit positive base N integers P
, each with no leading zeroes and having the restriction P
, 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.
(In reply to Cycling Backwards (spoiler)
Right you are, Harry! Proving once again that three answers are better than 2!