RMO 1994

The integer solutions for xx & yy in the equations

5x(1+1x2+y2)=125x (1+\frac{1}{x^2+y^2}) = 12 & 5y(11x2+y2)=45y (1-\frac{1}{x^2+y^2}) = 4,

are aa & bb. Find a+ba + b.

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