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Which positive number should replace both question marks in the following equation?​?11=275?\frac{?}{11} = \frac{275}{?}11?​=?275​​
Question

Which positive number should replace both question marks in the following equation?
?11=275?\frac{?}{11} = \frac{275}{?}

A.

55

B.

54

C.

49

D.

46

Correct option is A

Given: 

?11=275?\frac{?}{11} = \frac{275}{?} 

Solution: 

?11=275? (?)2=275×11 ?=275×11 ?=55\frac{?}{11} = \frac{275}{?} \\ \ \\ (?)^2 = 275\times 11 \\ \ \\ ? = \sqrt{275\times 11} \\ \ \\ ? = 55​​

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