A batsman has a certain average in 11 innings | vedclass

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Question

(A) Let the average of $11$ innings be $x$.Total runs scored in $11$ innings $= 11x$.In the $12^{	ext{th}}$ innings,he scores $90$ runs,so the total

Vedclass · Accepted Answer

$145$

Vedclass · Answer

(A) Let the average of $11$ innings be $x$.Total runs scored in $11$ innings $= 11x$.In the $12^{	ext{th}}$ innings,he scores $90$ runs,so the total runs after $12$ innings $= 11x + 90$.The new average after $12$ innings is $(x - 5)$.Therefore,the total runs after $12$ innings can also be expressed as $12(x - 5)$.Equating the two expressions for total runs:$11x + 90 = 12(x - 5)$$11x + 90 = 12x - 60$$12x - 11x = 90 + 60$$x = 150$.The average after $12$ innings $= x - 5 = 150 - 5 = 145$.

$A$ batsman has a certain average in $11$ innings. In the $12^{\text{th}}$ innings,he scores $90$ runs and his average decreases by $5$. After the $12^{\text{th}}$ innings,what is his average?

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