In a cricket team of 11 boys,one player weigh | vedclass

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(D) Let the initial average weight of the $11$ boys be $A \,kg$.Total weight of the team $= 11A \,kg$.When a player weighing $42 \,kg$ is replaced by

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$43$

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(D) Let the initial average weight of the $11$ boys be $A \,kg$.Total weight of the team $= 11A \,kg$.When a player weighing $42 \,kg$ is replaced by a new player of weight $W \,kg$,the new total weight becomes $(11A - 42 + W) \,kg$.The new average weight is $(A + 0.1) \,kg$ (since $100 \,g = 0.1 \,kg$).Therefore,the new total weight is $11(A + 0.1) \,kg$.Equating the two expressions for the new total weight:$11A - 42 + W = 11A + 1.1$$W - 42 = 1.1$$W = 42 + 1.1 = 43.1 \,kg$.Thus,the weight of the new player is $43.1 \,kg$.

In a cricket team of $11$ boys,one player weighing $42 \,kg$ is injured and replaced by another player. If the average weight of the team is increased by $100 \,g$ as a result of this,then what is the weight of the new player (in $.1$)? (in $kg$)

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