The average of a bowler is 3.8 wickets per match. If he play 5 matches, find the
number of wickets taken by him.
Answers
A man whose bowling 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 ___________.
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ANSWER
The bowling average indicates the number of runs given by a bowler to take a wicket. Let the bowler of 12.4 bowling average has taken x wickets before his last match. So, number of runs conceded by him are 12.4x.
Number of runs conceded including present match are 12.4x+26 and total wickets taken are x+5 and the new bowling average is 12.4−0.4=12. To find x,
Numberofwicketstaken
Numberofrunsconceded
=Bowlingaverage
or,
x+5
12.4x+26
=12
or,x=85
Therefore number of wickets taken by him his last match is 85
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