The parabolas y=x^{2}+15 x+32 and x=y^{2}+49 y+593 are tangent to each other at some point \left(x_{0}, y_{0}\right). Find x_{0}+y_{0}.
The parabolas y=x^{2}+15 x+32 and x=y^{2}+49 y+593 are tangent to each other at some point \left(x_{0}, y_{0}\right). Find x_{0}+y_{0}.