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My favorite numbers IV (Posted on 2010-05-08) 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 = C-D, and:

C/D = A-B

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

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Three distinct answers | Comment 2 of 3 |

(4,2,4,2); (6,3,3,1); (6,2,4,1)

  Posted by Brian Smith on 2010-05-09 11:09:36
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