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    Question

    6 years ago, the aunt was 3 times as old as her niece. In 5

    years, the niece’s age will be 40% of the aunt’s age. What is the niece’s present age?
    A 10 yrs Correct Answer Incorrect Answer
    B 44 yrs Correct Answer Incorrect Answer
    C 39 yrs Correct Answer Incorrect Answer
    D 26 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    6 years ago, let niece’s age be 'y' and aunt’s age = 3y

    5 years later, aunt = 3y + 6 + 5 = (3y + 11)

    Niece = y + 6 + 5 = (y + 11)

    Given,

    y + 11 = 0.4 × (3y + 11)

    Or, y + 11 = 1.2y + 4.4

    Solving,

    y - 1.2y = 4.4 - 11

    -0.2y = -6.6

    y = 33

    Present age = 33 + 6 = 39 years

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