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    In a Lions Club, 70% of the members are young and 30% of the members are old. The average age of the old members is 40 years and that of the young mem
    Question

    In a Lions Club, 70% of the members are young and 30% of the members are old. The average age of the old members is 40 years and that of the young members is 20 years. What is the average age of all the members (in years)?

    A.

    26

    B.

    22

    C.

    28

    D.

    24

    Correct option is A

    Given:

    70% of the members are young, and 30% are old.

    Average age of the old members = 40 years.

    Average age of the young members = 20 years.

    Formula Used:

    Average  =  Total sum of valuetotal number of values\frac{\text{ Total sum of value}}{\text{total number of values}}​ ​​

    Solution:

    Let the total number of members be N

    Number of young members = 70% of N = 0.7N

    Number of old members = 30% of N = 0.3N

    Now, the total age of young members = 0.7N × 20 = 14N

    The total age of old members = 0.3N × 40 = 12N

    Total age of all members = 14N + 12N = 26N

    Thus, the overall average age =26NN\frac{26N}{N} = 26 years

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