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Find x in the following expression: 537−x=35145\frac 37-x=3 \frac5{14}573​−x=3145​​​
Question

Find x in the following expression: 537x=35145\frac 37-x=3 \frac5{14}​​

A.

417 \frac17​​

B.

2114 \frac1{14}​​

C.

537 \frac37​​

D.

3214\frac 2{14}​​

Correct option is B

Given: 

537x=35145\frac 37-x=3 \frac5{14} 

Solution: 

537x=3514 387x=4714  x=3874714 x=764714=2914=21145\frac 37-x=3 \frac5{14} \\ \ \\ \frac{38}{7} -x = \frac{47}{14} \\ \ \\ \implies x = \frac{38}{7} -\frac{47}{14} \\ \ \\ x = \frac{76 - 47}{14} = \frac{29}{14} =2\frac{1}{14} ​​

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