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    Question

    Two numbers are in the ratio of 6:13. If three is added

    to both numbers, the ratio becomes 1:2. Find the smaller number.
    A 18 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E 30 Correct Answer Incorrect Answer

    Solution

    Let the numbers be 6a and 13a respectively.
    According to the question-
    (6a + 3)/(13a + 3) = 1/2
    12a + 6 = 13a + 3
    a = 3
    Hence, smaller number = 6*3 = 18

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