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

Puzzles and Curious Problems by Henry Ernest Dudeney: $306$

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.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Crossing River Problem, and Problems Concerning Games and Puzzle Games: $306$. -- A Puzzle in Billiards