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    If a : b = 5 : 7, then (6a² - 2b²) : (b² - a²) will be:
    Question

    If a : b = 5 : 7, then (6a² - 2b²) : (b² - a²) will be:

    A.

    12:5

    B.

    21:5

    C.

    13:6

    D.

    17:8

    Correct option is C

    a : b = 5 : 7,
    let a = 5x , b = 7x
    then (6a² - 2b²) : (b² - a²)
    [6×(5x)2 – 2(7x)2 ]: [(7x)2 -×(5x)2 ]
    x2{6 × 25} - {2 × 49} : x2 [49 – 25]
    150 - 98 : 24
    52 : 24
    13 : 6

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