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    Question

    The present ages of A and B are in the ratio 7 : 5.

    After 6 years, the ratio of their ages will be 4 : 3. Find A's present age.
    A 42 yrs Correct Answer Incorrect Answer
    B 32 yrs Correct Answer Incorrect Answer
    C 55 yrs Correct Answer Incorrect Answer
    D 72 yrs Correct Answer Incorrect Answer

    Solution

    Let present ages be 7x and 5x. After 6 years: (7x + 6) / (5x + 6) = 4 / 3 3(7x + 6) = 4(5x + 6) 21x + 18 = 20x + 24 21x āˆ’ 20x = 24 āˆ’ 18 x = 6 So, A’s age = 7x = 42 years B’s age = 5x = 30 years Answer: A = 42 years

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