At a game of billiards,A can give B 6 points | vedclass

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(C) In a game of $50$ points:When $A$ scores $50$,$B$ scores $50 - 6 = 44$.This means the ratio of the skills of $A$ and $B$ is $A/B = 50/44$.In a gam

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$5$

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(C) In a game of $50$ points:When $A$ scores $50$,$B$ scores $50 - 6 = 44$.This means the ratio of the skills of $A$ and $B$ is $A/B = 50/44$.In a game of $65$ points:When $A$ scores $65$,$C$ scores $65 - 13 = 52$.This means the ratio of the skills of $A$ and $C$ is $A/C = 65/52 = 5/4$.Now,we find the ratio of $B$ to $C$:$B/C = (B/A) 	imes (A/C) = (44/50) 	imes (65/52) = (44/50) 	imes (5/4) = (11/10) = 1.1$.This implies that when $B$ scores $11$ points,$C$ scores $10$ points.In a game of $55$ points:When $B$ scores $55$,$C$ scores $(10/11) 	imes 55 = 50$ points.Therefore,$B$ can give $C$ $55 - 50 = 5$ points.

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

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