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 1 month 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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