perplexus.info :: Numbers : Going Cyclic With Arithmetic

Going Cyclic With Arithmetic (Posted on 2009-06-08)

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.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

N= 7, 10, 13, 16, 19, 22, 25 and 28.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Cycling Backwards (spoiler)	Steve Herman	2009-06-10 01:18:16
Cycling Backwards (spoiler)	Harry	2009-06-10 00:49:08
Analytical solution (spoiler)	Steve Herman	2009-06-08 22:33:03
computer solution	Charlie	2009-06-08 13:54:28

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