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    Question

    The ratio of the present age of a father to his son is

    5:2. After 8 years, the ratio will be 3:2. What is the present age difference between them?
    A 12 yrs Correct Answer Incorrect Answer
    B 6 yrs Correct Answer Incorrect Answer
    C 18 yrs Correct Answer Incorrect Answer
    D 9 yrs Correct Answer Incorrect Answer

    Solution

    Let present ages of father and son be β€˜5x’ years and β€˜2x’ years, respectively. ATQ: (5x + 8)/(2x + 8) = 3/2 β‡’ 2(5x + 8) = 3(2x + 8) β‡’ 10x + 16 = 6x + 24 β‡’ 4x = 8 β‡’ x = 2 Desired difference = 5x – 2x = 3x = 3 Γ— 2 = 6 years

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