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    Question

    Five years after a couple's marriage, a daughter was

    born. The average age of the family 3 years after the daughter was born is 24 years. Further 3 years later, the sum of ages of the mother and daughter will be 50 years. Find the age of the father at the time of marriage.
    A 15 years. Correct Answer Incorrect Answer
    B 10 years. Correct Answer Incorrect Answer
    C 25 years. Correct Answer Incorrect Answer
    D 20 years. Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the age of the father and mother at the time of their marriage be 'f' years and 'm' years, respectively. ATQ, The average age of the family 3 years after the daughter was born = 24 years So, total age of the family at the time of the birth of the daughter = 24 * 3 = 72 Or, (f + 8) + (m + 8) + 3 = 72 Or, f + m + 19 = 72 Or, f + m = 53 ....(i) Further 3 years later, the sum of ages of the mother and daughter will be 50 years Also, (m + 8 + 3) + (3 + 3) = 50 Or, m + 11 + 6 = 50 Or, m + 17 = 50 Or, m = 33 years Put the value of m in equation (i), we get f + 33 = 53 Or, f = 20 So, the age of the father at the time of marriage = 20 years.

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