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Which positive number should replace both question marks in the given equation?​?48=243?\frac{?}{48} = \frac{243}{?}48?​=?243​​
Question

Which positive number should replace both question marks in the given equation?
?48=243?\frac{?}{48} = \frac{243}{?}

A.

105

B.

123

C.

96

D.

108

Correct option is D

Given:

?48=243?\frac{?}{48} = \frac{243}{?}  

Solution: 

?48=243?\frac{?}{48} = \frac{243}{?}​​

?=243×48? = \sqrt{243\times 48}  

?  = 35×3×16\sqrt{3^5 \times 3\times 16} 

?  = 36×16\sqrt{3^6 \times 16}

? = 33×43^3 \times 4  

? = 108 

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