Henry Ernest Dudeney/Puzzles and Curious Problems/306 - A Puzzle in Billiards

by : $306$

 * A Puzzle in Billiards
 * Alfred Addlestone can give Benjamin Bounce $20$ points in $100$, and beat him;
 * Bounce can give Charlie Cruikshank $25$ points in $100$, and beat him.
 * Now, how many points can Addlestone give Cruikshank in order to beat him in a game of $200$ up?
 * Of course we assume that the players play constantly with the same relative skill.