A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

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A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

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Nivetha

January 13, 2022at 5:58 pm

Let in first 16 innings his average was ‘x’. So, runs scored after 16 innings=16x.

In 17th inning his score is 87,so total score after 17th innings will be=16x+87.thus average after 17 innings will be = (16x+87)/17.

It is given that his overall average increases by 3,thus,we get an equation – –

(16x+87)/17=x+3

Or, 16x+87=17x+51

Or, 87-51=17x-16x

Or,x=36.

So his average after 17th innings will be 36+3=39

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