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    Question

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

    respectively. If B's age, 10 years hence from now will be 5 times of A's age, 14 years ago from now, then find the present age of 'A'.
    A 24 years Correct Answer Incorrect Answer
    B 20 years Correct Answer Incorrect Answer
    C 22 years Correct Answer Incorrect Answer
    D 23 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'A' and 'B' be '3x' years and '5x' years, respectively. ATQ; (5x + 10) = 5 x (3x - 14) Or, 5x + 10 = 15x - 70 Or, 10x = 80 x = 8 So, present age of 'A' = 3 x 8 = 24 years

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