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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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