In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is
Started 10 months ago by Shashank in
Explanatory Answer
Let no. of matches = M
Average goals = A
Total goals = MA
à (MA+1)/(M+10) = 0.15
à (MA+2)/(M+10) = 0.2
(MA+1) = 0.15(M+10) ………(i)
(MA+2) = 0.2(M+10) ………(ii)
Eq (ii)- (i)
1 = 0.05(M+10)
M = 10
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