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    Question

    The ratio of the age of ‘C’ 8 years hence from now,

    to the age of ‘D’ 4 years ago from now is 3:1. If the sum of their present ages is 68 years then find the present age of ‘C’.
    A 20 yrs Correct Answer Incorrect Answer
    B 50 yrs Correct Answer Incorrect Answer
    C 46 yrs Correct Answer Incorrect Answer
    D 10 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The age of ‘C’ 8 years hence and age of ‘D’ 4 years ago, from now be 3x years and x years, respectively. According to the question, 3x - 8 + x + 4 = 68 Or, 4x - 4 = 68 Or, 4x = 72 Or, x = 72 / 4 = 18 years Therefore, present age of ‘C’ = 3x - 8 = 3(18) - 8 = 54 - 8 = 46 years.

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