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From: aff@duke.UUCP (Amr F. Fahmy)
Newsgroups: net.puzzle
Subject: Yet another weighing problem
Message-ID: <5755@duke.UUCP>
Date: Thu, 18-Apr-85 11:19:40 EST
Article-I.D.: duke.5755
Posted: Thu Apr 18 11:19:40 1985
Date-Received: Sun, 21-Apr-85 04:12:47 EST
Organization: Duke University
Lines: 25


All right guys here is another weighing problem. If nobody posts the solution
within a week I'll post mine. Enjoy it :

	A piece of gold weighing 40 pounds was dropped and broken into 4
	pieces. It was broken in such a way that you can, using the 4
	pieces, weigh anything weighing from 1 up to 40 pounds. For example
        something weighing 5 pounds could be weighed using one piece of
	gold weighing 15 pounds and another weighing 10 pounds. 

	What are the weights of the 4 pieces ?

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	How about generalizing it, lets assume that the gold originally 
	weighed K pounds and was broken into n pieces, what are the weights
	of the n pieces given that the above property still holds ? 

        Note: I do not know (yet) the solution to the second one.

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                                              Amr Fawzy Fahmy

CSNet : aff@duke