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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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