At a game of billiards A can give B 6 points in 50 and he can give C 13 points in 65, how many points can B give C in a game of 55?

In a game of 50, If A scores 50 then B scores 44.
∴ A scores 65 while B 44 * 65 / 50 = 57.2 points
Now, B scores 57.2 points while C 52
∴ B scores 55 points while C = 52 * 55 / 57.2 = 50
Hence, in game of 55 points B can give C (55 – 50) = 5 points