एक बल्लेबाज 12 वीं पारी में 63 रन बनाता हैं, जिसके कारण उसका औसत स्कोर 2 रन बढ़ जाता हैं। 12 वीं पारी के बाद उसका औसत ज्ञात करें?1​

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1. SOLUTION

   GIVEN

   A batsman makes 63 runs in the 12th innings, which increases his average score by 2 runs.

   TO DETERMINE

   The average after 12th innings

   EVALUATION

   Let the average after 11 innings = n

   So total runs aften 11 innings = 11n

   Noe the batsman makes 63 runs in the 12th innings

   So total runs aften 12 innings = 11n + 63

   Now after 12 th innings average is increased by 2 runs

   So by the given condition

   [tex] \sf{12(n + 2) = 11n + 63}[/tex]

   [tex] \sf{ \implies \: 12n + 24= 11n + 63}[/tex]

   [tex] \sf{ \implies \: 12n – 11n = 63 – 24}[/tex]

   [tex] \sf{ \implies \: n = 39}[/tex]

   Hence the required average after 12th innings

   = 39 + 2

   = 41

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