The bowling average of a cricketer was 12.4.He improve his bowling ave by 0.2 points . When he takes 5 wickets for 26 runs in his last match . The no of wicket taken by hom before the last match was..?????
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Answer:
175 wickets.
Step-by-step explanation:
Note : When improving Bowling average the average always decreases.
Let the original number of runs be R and the original number of wickets be W.
The old average = R/W = 12.4
From this R = 12.4W................. i)
The new average = 12.4 - 0.2 = 12.2
The new wickets = w + 5
The new average = R + 26 / w + 5 = 12.2
R + 26 = 12.2(w + 5)
R + 26 = 12.2W + 61
R = 12.2W + 6 - 26
R = 12.2W + 35……………ii)
We equate equation i and ii.
12.2W + 35 = 12.4W
35 = 12.4W - 12.2W
0.2W = 35
W = 35/0.2
W = 175
The number of wickets taken before the last run is 175 wickets.
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