perplexus.info :: Weights and Scales : Special Similar Set

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)

Comments: ( You must be logged in to post comments.)

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

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info