Given tan(x)=12\tan(x) = \frac{1}{2}tan(x)=21 and tan(y)=13\tan(y) = \frac{1}{3}tan(y)=31, determine the value of x+yx+yx+y if x,y∈(0,π/2)x, y \in (0, \pi/2)x,y∈(0,π/2).
π/4\pi/4π/4
π/6\pi/6π/6
π/3\pi/3π/3
π/2\pi/2π/2