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

Home > Just Math
My favorite numbers V (Posted on 2010-06-09) Difficulty: 3 of 5
Determine all possible quadruplet(s) (A,B,C,D) of positive integers, with A ≤ C, that satisfy this system of equations:

A*(B-1)= C+D, and:

C*(D-1) = A+B

Prove that these are the only quadruplet(s) that exist.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
satisfaction Comment 1 of 1

The following satisfy the equations:

A  B  C  D

1  9  2  6

1  8  3  4

1  9  5  3

2  4  2  4

2  4  3  3

2  6  8  2

3  3  3  3

3  4  7  2

5  3  8  2

(A <= C the only restriction)

 


  Posted by ed bottemiller on 2010-06-09 15:04:50
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 (14)
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