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    If A4=B5=C6\frac{A}4= \frac{B}5=\frac{C}64A​=5B​=6C​​, then A : B : C is:
    Question

    If A4=B5=C6\frac{A}4= \frac{B}5=\frac{C}6​, then A : B : C is:

    A.

    4 : 5 : 6

    B.

    5 : 6 : 4

    C.

    4 : 6 : 5

    D.

    4 : 8 : 9

    Correct option is A

    Given:

    A4=B5=C6\frac {A}{4} = \frac {B}{5} = \frac {C}{6}

    Solution:
    Normalize using the common denominator.
    Let A4=B5=C6=k\frac {A}{4} = \frac {B}{5} = \frac {C}{6} = k​ 

    A=4k,B=5k,C=6kA = 4k, B = 5k, C = 6k​​

    (A:B:C)=(4:5:6)(A : B : C) = (4 : 5 : 6)​​



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