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

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

a b c 15 112 113 27 120 123 55 132 143 72 135 153 84 135 159 99 132 165 119 120 169
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
corrected computer solution	Charlie	2015-09-06 08:46:20
Solution, with thanks to the classical Greeks	xdog	2015-09-05 15:53:14
re: computer solution	xdog	2015-09-05 14:00:11
computer solution	Charlie	2015-09-05 12:48:30

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