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    Question

    The ratio of A’s age to B’s age is 2 : 3. If 6 years

    are subtracted from each of their ages, the new ratio becomes 3 : 5. Find B'spresent age.
    A 25 yrs Correct Answer Incorrect Answer
    B 36 yrs Correct Answer Incorrect Answer
    C 18 yrs Correct Answer Incorrect Answer
    D 42 yrs Correct Answer Incorrect Answer

    Solution

    Let A = 2k, B = 3k (A − 6) : (B − 6) = 3 : 5 (2k − 6)/(3k − 6) = 3/5 5(2k − 6) = 3(3k − 6) 10k − 30 = 9k − 18 10k − 9k = −18 + 30 = 12 k = 12 A = 2k = 24 years B = 3k = 36 years Answer: B = 36 years

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