2023 SSMO Accuracy Round Problems/Problem 7
Problem
Concentric circles 
and 
are drawn, with radii 
and 
respectively. Chords 
and 
of are both tangent to and intersect at 
If 
then the sum of all possible distinct values of ![$[PAD]$](http://latex.artofproblemsolving.com/a/7/e/a7e21efb4fd61ce8b01083b7ab8562bccfcb8406.png)
can be expressed as 
for relatively prime positive integers 
and 
Find 
