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 reply to re: New Brain-Twister
by Ady TZIDON)
Right you are again, Ady! Of course, I had a different solution. I guess that's why problems are vetted in the queue, not submitted on-the-fly as part of a response.
The solution I was looking for was x = 31/3, y = 10/3, z = -2/3
(nobody said scores couldn't be negative!)
A = x + x + z
B = y + y + y
C = x + z + z