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    Question

    Five years ago, Virat was 20 years older than Shami.

    Fifteen years from now, the ratio of their ages will be 2:3. Calculate the average of their current ages.
    A 40 years Correct Answer Incorrect Answer
    B 45 years Correct Answer Incorrect Answer
    C 30 years Correct Answer Incorrect Answer
    D 35 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present ages of Virat and Shami be X years and Y years respectively. According to question, X = Y + 20……………………………..(1) And, (Y + 15)/(X + 15) = 2/3 3Y + 45 = 2X + 30 Putting value of X from equation (1) 3Y + 45 = 2Y + 40 + 30 Y = 25 years X = 45 years Desired Average = (25 + 45)/2 = 70/2 = 35 years

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