Question 16
In the diagram below, $CE$ is tangent to the circle at point $D$, $AD$ is a diameter of the circle, and $ABC$, $AFE$ are straight lines. It is given that $AB/AC=16/41$ and $AF/AE=49/74$. Let $\tan(\angle CAE)=m/n$, where $m,n$ are positive integers and $m/n$ is a fraction in its lowest form. Find the sum $m+n$.
