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    Question

    Present ages of 'A' and 'B' are in the ratio 3:5,

    respectively. If B's age, 14 years hence from now will be 3 times of A's age, 16 years ago from now, then find the present age of 'A'.
    A 46.5 years Correct Answer Incorrect Answer
    B 40.5 years Correct Answer Incorrect Answer
    C 44.5 years Correct Answer Incorrect Answer
    D 47.5 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'A' and 'B' be '3x' years and '5x' years, respectively. ATQ; (5x + 14) = 3 x (3x - 16) Or, 5x + 14 = 9x - 48 Or, 4x = 62 x = 15.5 So, present age of 'A' = 3 x 15.5 = 46.5 years

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