Question

    The current age of the mother is

    six times that of her daughter. In 12 years, the ratio of their ages will be 8:3. Determine the age difference between the mother and daughter.
    A 25 yrs Correct Answer Incorrect Answer
    B 32 yrs Correct Answer Incorrect Answer
    C 42 yrs Correct Answer Incorrect Answer
    D 35 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of the daughter be ‘x’ years Therefore, present age of the mother = 6x years According to the question, (6x + 12)/(x + 12) = 8/3 Or, 18x + 36 = 8x + 96 Or, 10x = 60 Or, x = 6 Required difference = 6x – x = 5x = 30 years 

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