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In a one-day cricket match the captain of one of the teams scored 30 runs more than the average runs scored by the remaining six batsman of that team who batted in the match. If the total runs scored by all the batsmen of that team were 310, how many runs did the captain score?

Correct Answer: 70
Let the average score of the remaining 6 batsmen be x runs.
Then, sum of their scroe = 6x
Captain's score = (x + 30)
∴ 6x + (x + 30) = 310
⇒ 7x = 280
⇒ x = 40
Hence, captain's score = x + 30 = 70

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