# #1

Consider the equation $$\frac{5}{x} + \frac{7}{y} = \frac{5}{7}$$ for $$x > 0 ; y > 0$$. Suppose the number of integer solution is A with the set of integer pairs $$(x_i,y_i)$$ being $$(x_1,y_1),(x_2,y_2),....(x_A,y_A)$$. Find $$\sum_{i=1}^{A} x_i + \sum_{i=1}^{A} y_i$$.

Find other problems of this set

×