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    If  a: b = 2 : 3 and b : c = 7 : 8, find a : c.
    Question

    If  a: b = 2 : 3 and b : c = 7 : 8, find a : c.

    A.

    12 : 7

    B.

    7 : 12

    C.

    4 : 7

    D.

    7 : 2

    Correct option is B

    Given:
    a:b = 2:3
    b:c = 7:8
    Formula Used:
    Ratio concepts used
    Solution:
    If a:b = 2 :3
    b :c = 7 :8
    We equate ratio of B
    a : b = (2:3)×\times​ 7
    a : b =14: 21
    b : c = (7:8 ) ×\times​3
    b :c = 21: 24
    a:b:c =14:21:24
    a:c = 14:24 = 7:12

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