# RMO 1994

The integer solutions for $$x$$ & $$y$$ in the equations

$$5x (1+\frac{1}{x^2+y^2}) = 12$$ & $$5y (1-\frac{1}{x^2+y^2}) = 4$$,

are $$a$$ & $$b$$. Find $$a + b$$.

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