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

Home > Numbers
A 2547 Puzzle (Posted on 2007-03-29) Difficulty: 3 of 5
a and b are positive integers. Dividing a2 + b2 by a + b we obtain the quotient as q and the remainder as r.

Determine analytically all possible pairs (a, b) such that q2 + r = 2547

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: My start | Comment 3 of 4 |
(In reply to My start by Jer)

a^2 - 50a + (b - 50b - 47) = 0 which is a quadratic in a.

should be

a^2 - 50a + (b^2 - 50b - 47) = 0 which is a quadratic in a.


  Posted by Ady TZIDON on 2007-03-31 10:43:18
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 (11)
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