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Which two numbers should be interchanged to make the given equation correct? (Note: Interchange should be done of the entire number and not individual
Question

Which two numbers should be interchanged to make the given equation correct? (Note: Interchange should be done of the entire number and not individual digits of a given number.)​​
6345+14+(81÷9)×4+18×3=11463 - 45 + 14+ (81 \div 9) \times 4 + 18\times 3 = 114​​

A.

4 and 3

B.

14 and 18

C.

45 and 81

D.

63 and 81

Correct option is B

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}
Given,
6345+14+(81÷9)×4+18×3=11463 - 45 + 14+ (81 \div 9) \times 4 + 18\times 3 = 114
Option A: Interchange 4 and 3
63−45+14+(81 ÷ 9)×3+18×4 =114
→ 63 - 45 + 14 + 9 ×3 + 18×4
→ 63 - 45 + 14 + 27 + 72
→ 63 + 14 + 27 + 72 - 45
→ 176 - 45
→ 131 (Incorrect)
Option B: Interchange 14 and 18
63−45+18+(81 ÷ 9)×4+14×3 =114
→  63 - 45 + 18 + 9 ×4 + 14×3
→  63 - 45 + 18 + 36 + 42
→ 63 + 18 + 36 + 42 - 45
→ 159 - 45
→ 114 (Correct)
Option C: Interchange 45 and 81
63−81+14+(45÷9)×4+18×3
→ 63 - 81 + 14 + 5 × 4 +18×3
→ 63 - 81 + 14 +20 + 54
→ 63 + 14 +20 + 54 - 81
→ 151 - 81
→ 70 (Incorrect)
Option D: Interchange 63 and 81
​81−45+14+(63÷9)×4+18×3
→ 81 - 45 + 14 + 7 × 4 + 18×3
→ 81 - 45 + 14 + 28 + 54
→ 81+ 14 + 28 + 54 - 45
→  177 - 45
→ 132 (Incorrect)

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