perplexus.info :: Just Math : Simultaneous Pythagorean Poser 2

Simultaneous Pythagorean Poser 2 (Posted on 2015-09-05)

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

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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

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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