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Special Similar Set (Posted on 2005-06-27) Difficulty: 3 of 5
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)

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  Subject Author Date
The real number caseChris2006-12-04 14:36:11
Some Thoughtsre: The real number case -- a better proof?McWorter2005-07-15 22:05:30
SolutionThe real number caseMcWorter2005-07-15 00:20:25
Some ThoughtsKeep Hope AliveSteve Herman2005-07-01 17:12:35
Some Thoughtsre(2): Solution for part 1 -- wrongMcWorter2005-06-29 23:56:24
Some ThoughtsMore Part 2 thoughtsTristan2005-06-27 23:32:55
Some Thoughtsre: Solution for part 1McWorter2005-06-27 22:33:59
Some ThoughtsPart 2 thoughtse.g.2005-06-27 19:17:41
SolutionSolution for part 1e.g.2005-06-27 19:08:35
Some Thoughtsre: Part one solution -- Wronge.g.2005-06-27 19:03:19
SolutionPart one solution (and part 2)Charlie2005-06-27 18:46:19
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