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Which two numbers should be interchanged to make the given equation correct? 9 × (34 - 15) + (105 ÷ 7) + 28 + (13 × 4) = 218 (Note: Int
Question

Which two numbers should be interchanged to make the given equation correct?
9 × (34 - 15) + (105 ÷ 7) + 28 + (13 × 4) = 218 (Note: Interchange should be done of entire number and not individual digits of a given number).

A.

28 and 15

B.

15 and 13

C.

34 and 28

D.

15 and 7

Correct option is C

Given: 9 × (34 - 15) + (105 ÷7) + 28 + (13 ×4) = 218
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 all the options: 
Option (a): 28 and 15
9 × (34 - 28) + (105 ÷7) + 15 + (13 × 4) = 218
9 × (34 - 28) + 15 + 15 + (13 × 4) = 218
9 × 6 + 15 + 15 + 52 = 218
54 + 15 + 15 + 52 = 218
136 ≠ 218.
It is incorrect.
Option (b): 15 and 13
9 × (34 - 13) + (105 ÷7) + 28 + (15 × 4) = 218
9 × (34 - 13) + 15 + 28 + (15 × 4) = 218
9 × 21 + 15 + 28 + 60 = 218
181 + 15 + 28 + 60 = 218
284 ≠ 218
It is incorrect.
Option (c): 34 and 28
9 × (28 - 15) + (105 ÷7) + 34 + (13 × 4) = 218
9 × (28 - 15) + 15 + 34 + (13 × 4) = 218
9 × 13 + 15 + 34 + 52 = 218
117 + 15 + 34 + 52 = 218
218 = 218
It is correct.
Option (d): 15 and 7
​9 × (34 - 7) + (105 ÷ 15) + 28 + (13 ×4) = 218
9 × (34 - 7) + 7 + 28 + (13 × 4) = 218
9 × 27 + 7 + 28 + 52 = 218
243 + 7 + 28 + 52 = 218
330 ≠ 218 
It is incorrect.
Thus, the correct option is (c) 34 and 28.

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