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Batting average of Rahul in a series of 5 matches against Sri Lanka is 34 while his batting average against Australia is 84. If his total average against both Sri Lanka and Australia together is 52.75, then how many matches he played against Australia?

Batting average of Rahul in a series of 5 matches against Sri Lanka is 34 while his batting average against Australia is 84. If his total average against both Sri Lanka and Australia together is 52.75, then how many matches he played against Australia? Correct Answer 3

Total runs scored against Sri Lanka = 5 × 34 = 170

Let matches played against Australia be x.

Total runs scored against Australia = x × 84 = 84x

According to the question∶

170 + 84x = 52.75 × (5 + x)

263.75 - 170 = 84x - 52.75x

31.25x = 93.75

x = 3

Alternate Method∶

Let matches played against Australia be x.

Using Mixture and Allegation Method,

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(84 - 52.75) ∶ (52.75 - 34) = 5 ∶ x

31.25x = 93.75

x = 3

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