A batsman has certain average till his first 15 innings.after those 15 innings,he scores 65 and 75 runs in consecutive innings and thereby increase his average by 5 runs.what was his average till 15 innings?
Answers
Step-by-step explanation:
As we have average formula = sum of terms / number of terms
Here we have that player scored 87 runs in the 17th inning that means he had played 16th innings and first we have to get the runs scored in 16 innings
so we consider that average of player is X
as per Average formula = sum of terms / number of terms we can apply for runs
= sum of total runs scored till 16th innings / number of innings that is 16
X = sum total runs scored / 16
sum total runs scored = 16X
player scored 87 runs in the 17th inning
that means we have to add 87 runs in the total scored run till 16th inning so we get runs till 17th inning
( 16X + 87 ) ………………………………………………………………………………………………… (1)
So average till 17th inning would be
= sum of total runs scored till 17th innings / number of innings that is 17
= ( 16X + 87 ) / 17 …………………………………………………………………………………………….(2)
as per the statement in the question that player increases his average by 3 after 17th inning
so average would be
X+3 = ( 16X + 87 ) / 17 ………………………………………………………………………………….(3)
17X + 51 = 16X + 87
X= 36
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