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 Special Similar Set (Posted on 2005-06-27)
A man offered me a set of eleven weights, not all them equal, each an integer number of pounds, which he said had the following property: if you removed any of the eleven weights, the other ten could form two five weights sets that balanced each other. Is this possible?

And if the weights didn't weigh an integer number of pounds each?

 No Solution Yet Submitted by Old Original Oskar! Rating: 3.3333 (3 votes)

 Subject Author Date The real number case Chris 2006-12-04 14:36:11 re: The real number case -- a better proof? McWorter 2005-07-15 22:05:30 The real number case McWorter 2005-07-15 00:20:25 Keep Hope Alive Steve Herman 2005-07-01 17:12:35 re(2): Solution for part 1 -- wrong McWorter 2005-06-29 23:56:24 More Part 2 thoughts Tristan 2005-06-27 23:32:55 re: Solution for part 1 McWorter 2005-06-27 22:33:59 Part 2 thoughts e.g. 2005-06-27 19:17:41 Solution for part 1 e.g. 2005-06-27 19:08:35 re: Part one solution -- Wrong e.g. 2005-06-27 19:03:19 Part one solution (and part 2) Charlie 2005-06-27 18:46:19

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