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    Question

    Ratio of present ages of β€˜M’ and β€˜N’ is 4:3

    respectively. After 6 years, ratio of ages of β€˜N’ and β€˜M’ becomes 5:7 respectively. Find the age of β€˜N’ after 10 years.
    A 68 yrs Correct Answer Incorrect Answer
    B 46 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 75 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let present ages of β€˜M’ and β€˜N’ be 4y and 3y years respectively.
    So, (4y + 6) : (3y + 6) = 7 : 5
    Or, 5 Γ— (4y + 6) = 7 Γ— (3y + 6)
    Or, 20y + 30 = 21y + 42
    Or, y = 12
    Therefore, required age = 3 Γ— 12 + 10 = 46 years

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