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    If 13\frac{1}{3}31​​A = 14\frac{1}{4}41​​B = 15\frac{1}{5}51​​C, then A : B : C = ?
    Question

    If 13\frac{1}{3}​A = 14\frac{1}{4}​B = 15\frac{1}{5}​C, then A : B : C = ?

    A.

    4 : 3 : 5

    B.

    13:14:15\frac{1}{3}:\frac{1}{4}:\frac{1}{5}​​

    C.

    3 : 4 : 5

    D.

    5 : 4 : 3

    Correct option is C

    Given:

    13A=14B=15C\frac{1}{3} A = \frac{1}{4} B = \frac{1}{5} C

    Solution:

    Let the common value be k.
    Thus, we have:

    13A=14B=15C=k\frac{1}{3} A = \frac{1}{4} B = \frac{1}{5} C =k​​

    A : B : C = 3k : 4k : 5k

    By dividing each term by k (since k ≠ 0):

    A : B : C = 3 : 4 : 5

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