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Simultaneous Satisfaction III (Posted on 2016-03-21) Difficulty: 1 of 5
Determine all possible triplets (A,B,C) of positive integers that satisfy this system of equations:
A + B/C = B +C/A = C + A/B = 2016

No Solution Yet Submitted by K Sengupta    
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Solution Definitely D1 (spoiler) Comment 1 of 1
In order to be all be integers,
  B>= C >= A >= B

So, A = B = C
Therefore, B/C = 1

So the only integral solution is (2015,2015,2015)

  Posted by Steve Herman on 2016-03-21 08:42:32
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