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In a cricket match, 6 players had an average X of their runs. Average increases by 10 runs, if seventh player makes a score of 112 runs. What is the average of first 6 players.

A.

36

B.

39

C.

40

D.

42

Answer with explanation

Answer: Option DExplanation

The average of 6 players = X

Average increases by 10, when seventh player makes a score of 112 runs.

Therefore, average of 7 players = X + 10

Average = | Sum of Scores | ——- (1) |

Number of Players |

Here, average = X, number of players = 6

Hence,

Sum of scores = 6X

Score of 7 players = (Score of 6 players + score of 7 player) = (6X + 112) ——- (2)

Total average = (X + 10) ——— (3)

Substitute (2) and (3), in (1)

(X + 10) | (6X + 112) |

7 |

Solving we get,

X = 42

Average of first 6 players = 42

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