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

Home > Just Math
Matchstick Frenzy II (Posted on 2012-02-26) Difficulty: 3 of 5
A heap of a positive integer number of matches (that is, no broken matches) are divided into five groups.

If we take as many matches from the first group as there are in the second group and add them to the second, and then take as many from the second group as there are in the third group and add them to the third, and, so on ...... until finally, we take as many from the fifth group as there are in the first group and add them to the first group - the number of matches in each of the groups would be equal to the same positive integer.

What is the minimum number of matches in each group at the beginning?

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsgeneral solutionLarry2012-03-09 20:41:55
Some Thoughtsre: General n pile solution with proofSteve Herman2012-02-27 16:30:33
SolutionGeneral n pile solution with proofJer2012-02-27 12:55:44
Possible solutionbroll2012-02-27 01:02:13
Solutionanswers and general approach- spoilerAdy TZIDON2012-02-26 15:25:28
Some ThoughtsthoughtsCharlie2012-02-26 13:19:46
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information