Find the equation of a circle of radius 5 which is touching another circle $x^2+y^2-2x-4y-20=0$ at $(5,5)$.

Question

$\begin{array}{1 1}x^2+y^2+18x+16y-120=0\\x^2+y^2-18x+16y-120=0\\x^2+y^2-18x-16y+120=0\\x^2+y^2-18x-16y-120=0\end{array}$