## Ken's POTW

Olympic Ring Addition
Given the five olympic rings how can the digits one through nine be
placed within the nine regions (five non-overlapping ring regions and four
overlapping regions shared between two rings) so that each ring contains
the same total?
Or alternatively, using the labels A through I for the regions, how
can the numbers one through nine be assigned to the variables such
that:

A+B = B+C+D = D+E+F = F+G+H = H+I
Is there a logical approach other than brute force?

Source:
Andrew Gray in
newsgroup rec.puzzles, March 23, 1997.

Solution

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