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One member is k more than the average of all: find that member or the total

This type of question, asked 2 times: 17 Jul 2023 S4, 23 Sep 2024 S3. All 2 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S4

    68
    20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the 20th20^{\text{th}} student spent ₹19 more than the average of all the 20. Find the total money spent by them.

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  2. Question 2

    23 Sep 2024 S3

    51
    In a team of seven members, the average age of six of the members is 42 years while the age of the seventh member of the team is 36 years more than the average age of all the seven members taken together. Find the age (in years) of the seventh member of the team.

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