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    Question

    In a group of 10 members, two individuals are 20 and 30

    years old. Excluding these two, the average age of the remaining members increases by 1 year. Determine the average age of the entire group.
    A 18 Correct Answer Incorrect Answer
    B 29 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 37 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Average age of all members be 'z' years. Total age for all members is 10z. Age sum for the two excluded members is 20+30=50. Remaining members' total age 10z−50. New average for 8 members z+1. Equation: 10z−50=8(z+1) Solve:  10z−8z=50+8 ⇒2z=58 ⇒z=29

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