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Question

The average runs scored by Sachin, Sehwag and Dravid together in a series was 138. The average runs scored by Sehwag, Dravid and Dhoni together in the same series was 129. If the average runs scored by Dhoni alone was 41, then what was the runs scored by Sachin in the series?

A
44
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B
45.5
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C
48
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D
50
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Solution

The correct option is D 50
Let the number of matches be n.
Total runs scored by Sachin, Sehwag and Dravid = 138n ----(1)
Total runs scored by Dravid, Sehwag and Dhoni = 129n ----(2)
(1) – (2) gives Total runs scored by Sachin – Total runs scored by Dhoni = 9n
Then, runs scored by Sachin = 41n+9n = 50n
Therefore, average of Sachin = 50

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