#2

Number Theory Level 4

Consider the equation 5 x + 7 y + 35 x y = 2015 5x+7y+35xy=2015 . Suppose the number of integer solution is A with the set of integer pairs ( x i , y i ) (x_i,y_i) being ( x 1 , y 1 ) , ( x 2 , y 2 ) , . . . . ( x A , y A ) (x_1,y_1),(x_2,y_2),....(x_A,y_A) . Find ∑ i = 1 A x i + ∑ i = 1 A y i \sum_{i=1}^{A} x_i + \sum_{i=1}^{A} y_i .

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962 403 416 419

Sayan Chaudhuri by Sayan Chaudhuri , 23, India

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