All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
27 Weights (Posted on 2003-05-31) Difficulty: 3 of 5
Suppose you have 27 weights weighing: 1², 2², 3², 4², ........, 25², 26² and 27² grams respectively.

(a)How can you group them into three groups so that each group has the same weight ?

(b) Is it possible to divide it into more than three groups satisfying the same conditions ?

See The Solution Submitted by Ravi Raja    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: very easy | Comment 11 of 15 |
(In reply to very easy by brandy durbin)

The weights were the squares of the integers from 1 to 27, not those integers directly. While your non-squared groups each add up to 126, when the integers are squared the squares within groups add up to 3136, 2299 and 1414 respectively.
  Posted by Charlie on 2003-05-31 15:49:05

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information