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?

In addition to the 5 sets of x,y,z values that 
Ady and I have already posted, there is one more.

Only those where A received a second place vote are 
puzzle solutions.

The full set:

  A      B      C     x    y    z     Solution?
-----  -----  -----  ---- ---- ---- ---------
1,1,1  2,2,2  3,3,3  20/3 10/3  9/3   No
1,1,1  2,2,3  2,3,3  20/3 11/3  8/3   No
1,1,2  2,2,3  1,3,3  23/3 14/3  2/3   Yes
1,1,2  1,3,3  2,2,3  24/3 12/3  3/3   Yes
1,1,3  1,3,3  2,2,2  30/3  9/3  0/3   No
1,1,3  2,2,2  1,3,3  31/3 10/3 -2/3   No

Posted by Steve Herman on 2013-06-09 12:01:05