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    Find x and y in the equivalent fraction given below. x9=10563=5y\frac{x}9=\frac{105}{63}=\frac5y9x​=63105​=y5​​
    Question

    Find x and y in the equivalent fraction given below.
    x9=10563=5y\frac{x}9=\frac{105}{63}=\frac5y

    A.

    x = 3,y = 5

    B.

    x = 15,y = 9

    C.

    x = 12,y = 3

    D.

    x = 15,y = 3

    Correct option is D

    Given: 

    x9=10563=5y\frac{x}9=\frac{105}{63}=\frac5y​​

    Solution: 

    x9=10563\frac{x}{9}=\frac{105}{63} 

    x = 1057\frac{105}7 

    x = 15  

    Now, 

    5y=10563\frac5y = \frac{105}{63} 

    1y\frac1y = 2163\frac{21}{63}

    1y\frac1y = 13\frac13 

    y = 3 

    Thus, 

    x = 15, y = 3 

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