Question #23928

A man whose bowing average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4 . The number of wickets , taken by him before his last match , is?

Expert's answer

Let the man had taken x wickets with an average of 12.4

Total numbers of runs he gave = 12.4x

Total number of runs he gave after the new spell = 12.4x + 26

New average = (12.4x+26)/(x+5) = 12.4 -0.4 = 12

Solving this equation:

12.4x+26 = 12x+5*12

0.4x = 60 - 26 = 34

x = 34/0.4

x = 85

Answer: Wickets taken by him before his last match = 85

Total numbers of runs he gave = 12.4x

Total number of runs he gave after the new spell = 12.4x + 26

New average = (12.4x+26)/(x+5) = 12.4 -0.4 = 12

Solving this equation:

12.4x+26 = 12x+5*12

0.4x = 60 - 26 = 34

x = 34/0.4

x = 85

Answer: Wickets taken by him before his last match = 85

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