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

Home > Just Math
A peculiar triplet (Posted on 2016-11-01) Difficulty: 3 of 5
This triplet of positive integers has this peculiarity:
A product of any its two numbers divided by the 3rd number
has 1 as a remainder.

Find it.
Show that no other exist.

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(3): The triple without complete proof | Comment 4 of 7 |
(In reply to re(2): The triple without complete proof by Charlie)

if there were duplicates like a,a,b then

   two numbers divided by the 3rd number   e.g. a*b/a would never leave a remainder - you do not need computer to tell you this.


  Posted by Ady TZIDON on 2016-11-01 16:16:12
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 (1)
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