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Simultaneous Pythagorean Poser 2 (Posted on 2015-09-05) Difficulty: 3 of 5
Find all possible triplets (A, B, C) of positive integers, with A ≤ B, that satisfy this system of equations:

A2 + B2 = C2, and

A+B = 2C - 99

No Solution Yet Submitted by K Sengupta    
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re: computer solution | Comment 2 of 4 |
(In reply to computer solution by Charlie)

Charlie, your proposed solutions don't satisfy the second condition of the problem.  The line "c = tot - 12" stands out.
  Posted by xdog on 2015-09-05 14:00:11

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