Three players A, B and C are nominated and three sportswriters respectively from periodicals D, E and F designate a player as first, second or, third place. However, the point awards for the first-, second- and third-place votes are not known precisely. All we know is that a first place vote is worth x points, a second-place vote is worth y points and a third-place vote is worth z points with x > y > z.

When the points have been counted up, Player A has emerged with 20 points, Player B with 10 points and Player C with 9 points.

If Player A received a second place vote from Periodical D, who received a second place vote from Periodical E?

Actually, I am interested in this puzzle, and I think it is worth a 3 rating, if we are expected to prove that the solution is unique.

Posted by Steve Herman on 2013-06-07 18:55:46