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    Question

    The ratio of ages of P and Q after 12 years will be 7:4.

    If the present age of P is 150% more than the age of Q six years ago, find their present average age.
    A 44 yrs Correct Answer Incorrect Answer
    B 48.5 yrs Correct Answer Incorrect Answer
    C 65.2 yrs Correct Answer Incorrect Answer
    D 35 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let ages of P and Q after 12 years be 7x and 4x respectively. So, present ages: P = 7x − 12, Q = 4x − 12. According to question: 7x − 12 = 2.50 × (4x − 18) Or, 7x − 12 = 10x − 45 Or, 3x = 33 So, x = 11. Present P = 7x − 12 = 77 − 12 = 65, Present Q = 4x − 12 = 44 − 12 = 32. Desired Average = (65 + 32)/2 = 48.5 years.

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