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Sum and Ratio Sum II (Posted on 2011-05-21) Difficulty: 4 of 5
Determine all possible octuplet(s) (A, B, C, D, P, Q, R, S) of positive integers, with P ≤ Q ≤ R ≤ S, that satisfy this system of equations:

A + B + C + D = 200, and:

A/P2 + B/Q2 + C/R2 + D/S2 = 7.5

Prove that these are the only octuplet(s) that exist.

No Solution Yet Submitted by K Sengupta    
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