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?

(In reply to Part one solution (and part 2) by Charlie)

The answer is wrong, because the two sets should have 5 weights each. 

Posted by e.g. on 2005-06-27 19:03:19