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    If a : b = 2 : 3, then find the value of (3a + 7b) : (6a – 3b).
    Question

    If a : b = 2 : 3, then find the value of (3a + 7b) : (6a – 3b).

    A.

    9 : 1

    B.

    6 : 1

    C.

    3 : 1

    D.

    2 : 1

    Correct option is A

    Given:

    a : b = 2 : 3

    Solution :

    Let a = 2x, b = 3x

    3a+7b6a3b=6x+21x12x9x=27x3x=91\frac{3a + 7b}{6a - 3b}=\frac{6x + 21x}{12x-9x}=\frac{27x}{3x}=\frac91​​

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