A can give B 15 points, A can give C 22 points and B can give C 10 points. How many points make the game?

Let assume the game has P points.
Then A has P points , B has (P – 15) and C has (P – 22) points and also if B has P points then C has (P – 10) points.
Applying chain rule,
P x P ( P – 22 ) = P ( P – 15) ( P – 10)
⇒ P² – 22P = P² – 25P + 150
⇒ 3P = 150
∴ P = 50