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    Question

    Six years ago, the age of 'R' compared to the age of 'M'

    six years from now was in the ratio 4:7. If the current average age of 'R' and 'M' is 33 years, what is the difference in their current ages?
    A 5 yrs Correct Answer Incorrect Answer
    B 12 yrs Correct Answer Incorrect Answer
    C 18 yrs Correct Answer Incorrect Answer
    D 6 yrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present age of 'R' and 'M' be ‘p’ years and ‘q’ years, respectively So, (p – 6)/(q + 6) = 4/7 Or, 7p – 42 = 4q + 24 Or, 7p – 4q = 66 ------------------ (1) Also, p + q = 2 × 33 = 66--------------- (2) Equation (2) × 4 + Equation (1), we get 11p = 330 Or, p = 30 So, q = 66 – 30 = 36 Required difference = 36 – 30 = 6 years

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