The ace leg spinner Bhayanak singh bedi had 1200 runs taken of him in a certain number of matches. In the next match he took 4 wickets conceding 144 runs as a result of which his average (runs conceded / no. of wickets taken) increased by 1. How many wickets did he take before ths last match?
Answers
Given : The ace leg spinner Bhayanak singh bedi had 1200 runs taken of him in a certain number of matches. In the next match he took 4 wickets conceding 144 runs as a result of which his average (runs conceded / no. of wickets taken) increased by 1
To find : How many wickets did he take before ths last match
Solution:
The ace leg spinner Bhayanak singh bedi had 1200 runs taken of him in a certain number of matches
Let say wicket taken till that match = W
hence Average (runs conceded / no. of wickets taken) = 1200/W
in the next match he took 4 wickets conceding 144 runs as a result of which his average increased by 1
=> (1200 + 144) / ( W + 4) = 1200/W + 1
=> 1344/(W + 4) = (1200 + W)/W
=> 1344W = (1200 + W)(W + 4)
=> 1344W = 4800 + 1204W + W²
=> W² - 140W + 4800 = 0
=> W² - 80W - 60W + 4800 = 0
=> (W - 80)(W - 60) = 0
=> W = 80 or 60
He had taken 60 or 80 wickets before the last match
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