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

Home > Just Math
Rational Value Validation (Posted on 2016-03-20) Difficulty: 3 of 5
The 97 rational numbers 49/1, 49/2, 49/3, ..., 49/97 are written on a blackboard.
Two of the above numbers X and Y are chosen and replaced by X*Y-X-Y+1.
The procedure is repeated until a single number Z(say) remains on the board.

Determine the possible values of Z.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: solution for 4 elements only Comment 11 of 11 |
(In reply to solution for 4 elements only by Charlie)

To compare the results with a common denominator, each of the outputs from the 4-element simplification was multiplied by 24. After sorting the results were


 4638732 
 4641696 
 4642284 
 4645935 
 4648336 
 4651104 
 4651888 
 4655808 
 4656690 
 4660708 
 4660904 
 4663011 
 4663305 
 4665412 
 4665510 

each to be understood as that numerator over a denominator of 24.

They are in the same neighborhood, but they are not evenly spaced.

  Posted by Charlie on 2016-03-23 14:52:58
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information