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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Step-by-step explanation:
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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