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Sum and Ratio Sum (Posted on 2011-01-16) Difficulty: 3 of 5
Determine all possible quadruplets (A, B, P, Q) of positive integers, with P ≤ Q, that satisfy this system of equations:

A + B = 21, and:

A/P2 + B/Q2 = 1

Prove that these are the only quadruplets that exist.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
re(2): Possible solutionbroll2011-01-18 01:57:24
re: Possible solutionSteve Herman2011-01-17 17:18:01
Possible solutionbroll2011-01-17 02:08:11
Some ThoughtsFirst Tiny Start (Spoiler)Steve Herman2011-01-16 13:27:58
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