In a game,A can give B 25 points in 75 and C | vedclass

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(A) In a game of $75$ points,$A$ gives $B$ $25$ points. This means when $A$ scores $75$,$B$ scores $75 - 25 = 50$. The ratio of their speeds is $A:B =

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(A) In a game of $75$ points,$A$ gives $B$ $25$ points. This means when $A$ scores $75$,$B$ scores $75 - 25 = 50$. The ratio of their speeds is $A:B = 75:50 = 3:2$.In a game of $90$ points,$A$ gives $C$ $18$ points. This means when $A$ scores $90$,$C$ scores $90 - 18 = 72$. The ratio of their speeds is $A:C = 90:72 = 5:4$.To find the ratio $B:C$,we equate $A$ in both ratios: $A:B = 3:2 = 15:10$ and $A:C = 5:4 = 15:12$. Thus,$B:C = 10:12 = 5:6$.This means when $C$ scores $6$,$B$ scores $5$. In a game of $120$ points,if $C$ scores $120$,then $B$ scores $\frac{5}{6} 	imes 120 = 100$.Therefore,$C$ can give $B$ $120 - 100 = 20$ points.

In a game,$A$ can give $B$ $25$ points in $75$ and $C$ $18$ points in $90$. How many points can $C$ give $B$ in a game of $120$?

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