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    The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on t
    Question

    The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged. What are those two numbers (not digits) and the two signs?
    9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13

    A.

    1 and 3; + and ×

    B.

    1 and 9; ÷ and ×

    C.

    3 and 7; + and ÷

    D.

    3 and 8; + and –

    Correct option is A

    Given: 
    9 × 1 ÷ 3 + 8 – 7 = 12 ÷ 3 + 2 × 33 – 13
    Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline \end{array} ​​
    Let's check each option
    A) ​1 and 3; + and ×
    New equation: 
    9 × 3 ÷ 1 + 8 – 7 = 12 ÷ 3 × 2 + 33 – 13
    9 × 3 + 8 – 7 = 4 × 2 + 33 – 13
    27 + 8 – 7 = 8 + 33 – 13
    35 – 7 = 41 – 13
    28 = 28 (Follows)

    Thus, correct option is (a).






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