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    Question

    The present age ratio of Arjun to

    Virat is 2:z. In 6 years from now, their total ages will be 42 years. Eight years ago, Rahul was 3 years older than Virat and his age at that time was 15 years. What is the value of (z + 3)(z + 7)?
    A 42 Correct Answer Incorrect Answer
    B 72 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 55 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Present age of Rahul = 15 + 8 = 23 years Present age of Virat = 23 - 3 = 20 years So, present age of Arjun = 42 - 20 - 6 - 6 = 10 years Ratio of present ages of Arjun and Virat = 10:20 = 1:2 So, z = 2 Therefore, required value = (2 + 3) Ă— (2 + 7) = 5 Ă— 9 = 45

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