3. Given that $x, y, z$ are positive numbers and satisfy $\left\{\begin{array}{l}x+y+x y=8, \\ y+z+y z=15, \\ z+x+z x=35 .\end{array}\right.$ Then $x+y+z+x y=$
According to the problem, $\left\{\begin{array}{l}(x+1)(y+1)=9, \\ (y+1)(z+1)=16, \\ (z+1)(x+1)=36\end{array} \Rightarrow\left\{\begin{array}{l}x=\frac{7}{2}, \\ y=1, \\ z=7\end{array} \Rightarrow x+y+z+xy=15\right.\right.$.