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Which two numbers should be interchanged to make the given equation correct? 700 + 42 ÷ 6 × 45 – 54 × 9 + 14 = 355
Question

Which two numbers should be interchanged to make the given equation correct?
700 + 42 ÷ 6 × 45 – 54 × 9 + 14 = 355

A.

9 and 14

B.

6 and 14

C.

6 and 9

D.

45 and 54

Correct option is B

Given:
700 + 42 ÷ 6 × 45 – 54 × 9 + 14 = 355
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} ​​
a) 9 and 14
After interchange
700 + 42 ÷ 6 × 45 – 54 × 14 + 9 = 355
700 + 315 – 756 + 9 = 355
1024 – 756 = 355 
268 = 355 (Incorrect)
b) 6 and 14
After interchange
700 + 42 ÷ 14 × 45 - 54 × 9 + 6 = 355
700 + 3 × 45 - 486 + 6 = 355
700 + 135 - 486 + 6 = 355
841 - 486 = 355
355 = 355 (Correct)
Thus, correct option is (b).




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