A batsman has a certain average in 59 innings. If his average increased by 2 runs after scoring 181 in the last innings, what is his average after these 60 innings?
Answers
Given data :
A batsman has a certain average in 59 innings.
His average increased by 2 runs after scoring 181 in the last innings.
To find :
His average after these 60 innings
Calculations :
Let x be the average of first 59 innings,
and y be the total runs made (sum of runs of 59 innings).
Based on this, the average of 59 innings will be :
⇒ y = 59x
Given that In next innings, i.e., in 60th inning, he scored 181 runs and his average is increased by 2 runs.
So, the average of 60 innings will be :
⇒ y + 181 = 60(x + 2)
⇒ y + 181 = 60x + 120
⇒ 60x - y = 181 - 120
As we got y = 59x in 59 innings computation, replace y by 59x here.
⇒ 60x - 59x = 61
⇒ x = 61
As x is defined as the average of 59 innings, the average of 59 innings is 61 runs.
On 60th inning, average is increased by 2 runs.
So, the average of 60 innings is = x + 2
= 61 + 2
= 63 runs
Therefore, His average after 60 innings is 63 runs.
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