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 Place Perception (Posted on 2013-06-07)
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?

 No Solution Yet Submitted by K Sengupta Rating: 4.0000 (1 votes)

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 re(2): New Brain-Twister | Comment 8 of 9 |

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

 Posted by Steve Herman on 2013-06-09 09:39:42

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