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    Question

    Currently, the sum of ages of Karan and Tarun is 60

    years. Three years ago, the ratio of their ages was 4:5. What is Tarun’s present age?
    A 45 yrs Correct Answer Incorrect Answer
    B 33 yrs Correct Answer Incorrect Answer
    C 65 yrs Correct Answer Incorrect Answer
    D 55 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of Karan = y years

    Then, present age of Tarun = (60 - y) years

    According to the question,

    (y - 3):(60 - y - 3) = 4:5

    ⇒ 5(y - 3) = 4(57 - y)

    ⇒ 5y - 15 = 228 - 4y

    ⇒ 9y = 243

    ⇒ y = 243 ÷ 9 = 27

    So, present age of Tarun = 60 - 27 = 33 years

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