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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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