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2015 CIMC keystage3-IWYMIC individual Question 6

xIMC · 2015 CIMC keystage3-IWYMIC individual

Question 6

How many positive integral solutions $(x,y)$ are there for the equation

$$\frac{1}{x+1}+\frac{1}{y}+\frac{1}{(x+1)y}=\frac{1}{2015}?$$