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    Question

    Three years ago, the ratio of Meena's age to Neha’s age 1

    year from now was 3:5. If their average present age is 25 years, what is the difference between their current ages?
    A 8 yrs Correct Answer Incorrect Answer
    B 2 yrs Correct Answer Incorrect Answer
    C 6 yrs Correct Answer Incorrect Answer
    D 9 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of present ages of Meena and Neha = 25 × 2 = 50 years

    Let the present age of Meena = y years

    Then, present age of Neha = (50 − y) years

    According to the question,

    (y − 3):(50 − y + 1) = 3:5

    ⇒ 5(y − 3) = 3(51 − y)

    ⇒ 5y − 15 = 153 − 3y

    ⇒ 8y = 168

    ⇒ y = 168 ÷ 8 = 21

    So, present age of Meena = 21 years

    And present age of Neha = 50 − 21 = 29 years

    Therefore, difference = 29 − 21 = 8 years

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