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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, 20 years ago from now, then find the present age of 'A'.
    A 23 years Correct Answer Incorrect Answer
    B 32 years Correct Answer Incorrect Answer
    C 34 years Correct Answer Incorrect Answer
    D 33 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 - 20) Or, 5x + 10 = 15x - 100 Or, 10x = 110 x = 11 So, present age of 'A' = 3 x 11 = 33 years

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