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    Question

    The ratio of two numbers is 5:11. If each number is

    decreased by 2, the ratio becomes 4:9. Find the smaller numbers.
    A 40 Correct Answer Incorrect Answer
    B 70 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 5x and 11x. => (5x-2)/(11x-2) = 4/9 => 45x – 18 = 44x – 8 => x = 10 The smaller numbers = 5 × 10 = 50

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