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    Question

    Average age of 4 daughter of a family is 8 years and

    average age of daughter together with their parents is 16 years. If mother is 4 years younger than father. Find the age of father 2 year ago.
    A 38 years Correct Answer Incorrect Answer
    B 32 years Correct Answer Incorrect Answer
    C 25 years Correct Answer Incorrect Answer
    D 42 years Correct Answer Incorrect Answer
    E 55 years Correct Answer Incorrect Answer

    Solution

    Total age of daughters = 4 × 8 = 32 years ----- (i) Total age of daughters and their parents = 6 × 16 = 96 years ----- (ii) Here mother is 4 years younger than father, Solving (i) & (ii) we get, Father’s age = 34 years Father’s age 2 years ago = 34 − 2 = 32 years

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