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

Home > Just Math
Product Divides Sum? (Posted on 2015-05-12) Difficulty: 2 of 5
Each of P, Q and R is a positive integer such that P divides Q2, Q divides R2 and R divides P2.

Does P*Q*R always divide P+Q+R?
If not, give a counterexample.
If so, prove it.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Analytical Solution Comment 3 of 3 |
(In reply to re: Analytical Solution by broll)

Well put!

And that. of course, would make (1,1,1) the only P,Q,R that meets the puzzle conditions.

  Posted by Steve Herman on 2015-05-13 06:30:59
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 (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information