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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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