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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.)
quadruplet | Comment 1 of 3
(4,2,4,2)

4/2 = 4 - 2 => 2 = 2
  Posted by Dej Mar on 2010-05-08 20:21:56
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