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    Question

    A 15-member group has two individuals aged 18 and 23.

    When excluded, the average age of the rest increases by 3 years. Find the average age of all members.
    A 65 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 85 Correct Answer Incorrect Answer

    Solution

    ATQ, Average age 'u' years. Total age 15u. Sum age 18+23=41. Remaining 15u−41. New average u+3. Equation: 15u−41=13(u+3) Solve:  15u−13u=41+39 ⇒80⇒2u=80 ⇒u=40

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