A batsman in his 17th inning makes 85 scores and thereby increases his average by 3. His average after 17th inning is?

Question based on Average

A batsman in his 17th inning makes 85 scores and thereby increases his average by 3. His average after 17th inning is?

Solution:

Let x be the average of that batsman after his 17th inning
according to the question, the average of batsman after his 16th inning will be (x-3).

According to the basics of average we know that Average = Sum/ No. of entries
This means that:

Average of 17th Inning  x = 16x−3+8517

 On solving we get x=37 which is his average after the 17th inning.

 If you still have any doubts, you can ask in the comments.

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A cricket player scores 48, 46, 45 and 44 runs respectively in his four innings. He will score how many runs in his fifth inning so that his average becomes 50 runs?

Question Based on Average A cricket player scores 48, 46, 45 and 44 runs respectively in his four innings. He will score how many runs in his fifth inning so that his average becomes 50 runs? Solution: On a general point the average for fifth inning will be: (Total runs in 5 innings)/5 Now let the runs in the 5th inning as X Total runs in 5 Innings will be = 48 + 46 + 45 + 44 + X = 183 + X The average for 5 innings is given in the question as 50, equating everything we get (183 + X)/ 5 =50 On solving we get X = 67 . So the player should make 67 runs in his 5th inning to make a total average of 50. If you still have any doubt you can ask in the comment section.
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