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    Question

    The ratio of the lengths of rods A, B, and C is 2:3:4

    respectively. Rod D is 5 cm shorter than rod C. If the difference between rod C and rod A is 20 cm, find the ratio of length of rod B to rod D.
    A 6:7 Correct Answer Incorrect Answer
    B 5:6 Correct Answer Incorrect Answer
    C 7:6 Correct Answer Incorrect Answer
    D 4:5 Correct Answer Incorrect Answer

    Solution

    Let the lengths be 2x, 3x, and 4x respectively.┬а
    So, length of rod D = 4x - 5
    ATQ,┬а
    4x - 2x = 20┬а
    Or, 2x = 20┬а
    Or, x = 10
    So, length of rod B = 3 ├Ч 10 = 30┬а
    And, rod D = 4 ├Ч 10 - 5 = 35
    Required ratio = 30:35 = 6:7┬а┬а

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