Question

    The ratio of age of Sohan 12 years ago to the age of

    Meera 12 years hence is 2:5. If the average of their present ages is 45 years, what is the difference between their present ages?
    A 15 yrs Correct Answer Incorrect Answer
    B 14 yrs Correct Answer Incorrect Answer
    C 12 yrs Correct Answer Incorrect Answer
    D 10 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ Let the present age of Sohan and Meera be ‘s’ years and ‘m’ years, respectively. So, (s – 12) / (m + 12) = 2 / 5 Or, 5s – 60 = 2m + 24 Or, 5s – 2m = 84 ------------------ (1) Also, s + m = 2 × 45 = 90--------------- (2) Equation (2) × 2 + Equation (1), we get 7s = 264 Or, s = 37.71 (approximately 38) So, m = 90 – 38 = 52 Required difference = 52 – 38 = 14 years

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