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    Question

    5 years from now, the ratio of ages of Asha and Kiran will

    be 3:4 respectively. The total of their current ages is 95 years. What is the difference in their present ages?
    A 20 yrs Correct Answer Incorrect Answer
    B 15 yrs Correct Answer Incorrect Answer
    C 12 yrs Correct Answer Incorrect Answer
    D 24 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    5 years from now, let the age of Asha = ‘3x’ years

    Then, 5 years from now, age of Kiran = (4/3) × 3x = ‘4x’ years

    So, present age of Asha = (3x – 5) years

    Present age of Kiran = (4x – 5) years

    Sum of present ages of Asha and Kiran = 3x – 5 + 4x – 5 = (7x – 10) years

    So, 7x – 10 = 95

    Or, 7x = 95 + 10 = 105

    Or, x = (105/7) = 15

    So, difference between present ages of Asha and Kiran = 4x – 3x = x = 15 years

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