average Runs scored (runs scored per match) of a batsman is n. had he not played the last match in which he was out for a duck or if he plays another match and scores 56runs,his average would increase by 1.whatvis his current average runs and how many matches he has played so far?
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Current average = 27 , Matches he has played = 28
Step-by-step explanation:
average Runs scored (runs scored per match) of a batsman is n
Let say he played m Matches
Total score = mn
had he not played the last match in which he was out for a duck
then His average = mn/(m-1) = n + 1
=> mn = (m-1)(n+1)
=> mn = mn +m - n - 1
=> m = n + 1
if he plays another match and scores 56runs
=> mn + 56 = (n+1)(m+1)
=> mn + 56 = mn + m + n + 1
=> m = 56 - n - 1
n + 1 = 56 - n - 1
=> 2n = 54
=> n = 27
m = 28
Current average = 27
Matches he has played = 28
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