Question

A cricketer gives 12.4 runs per wicket. He gives 26 runs and takes 5 wickets in a match after which his average becomes 12 per wicket. How many wickets had been taken till the last match?

Answer 1

Hi I hope this that helps

Answer 2

There are 85 wickets it had been taken till the last match.

Step-by-step explanation:

Since we have given that

Number of runs per week = 12.4 runs

Number of runs = 26

Number of wickets = 5

Average becomes 12 per wicket.

Let the number of initial runs be 'x'.

So, it becomes,

$\dfrac{12.4x+26}{x+5}=12\\\\12.4x+26=12(x+5)\\\\12.4x+26=12x+60\\\\12.4x-12x=60-26\\\\0.4x=34\\\\x=\dfrac{34}{0.4}\\\\x=85$

Hence, there are 85 wickets it had been taken till the last match.

# learn more:

A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. the number of wickets taken by him till the last match was

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