What will be the average of runs after 17th innings? If

A batsman has a certain average runs for 16 innings. In the 17th innings, he made a score of 80 runs thereby increasing his average by 2. His average of runs after 17th innings is

  1. 45 runs
  2. 48 runs
  3. 44 runs
  4. 42 runs
Monis Rasool Professor Asked on 14th November 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 48 runs

    Explanation:-

    Let his initial average = X
    His total runs after 16 innings = 16X
    After scoring 80 runs his average got increased by 2 to X + 2
    So his total runs after 17 innings = 17 x (X+2)
    But it was given that the difference in the total scores after 16 innings and 17 innings = 80
    Therefore, 17 x (X + 2) – 16 X = 80
    17 X + 34 – 16 X = 80
    X = 80 – 34
    X = 46

    Then, the new average = 46 + 2 
     = 48 runs

    Hence, the answer is (2) 48. 

    Anurag Mishra Professor Answered on 14th November 2015.
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