Which two signs should be interchanged to make the given equation correct?

23 $$\times$$ 7 - 76 + 87 $$\div$$ 344 = 2​

Given: 23 $$\times$$ 7 - 76 + 87 $$\div$$ 344 = 2

Logic: Interchange the signs in the given equation as per the options and then solve the equation using the BODMAS rule.

​$$\begin{array}{ | c | c | } \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline Brackets &[], {}, () \\ \hline Orders, of & (power), √ (root), of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}$$​​

After interchanging the signs, we get, 23 $$\div$$​ 7 - 76 + 87 $$\times$$ 344 = 2

3.28 - 76 + 87 $$\times$$ 344 = 2

3.28 - 76 + 29928 = 2

29931.28 - 76 = 2

29855.28 $$\neq$$ 2 (This option does not satisfy the equation.)​

​After interchanging the signs, we get, 23 $$\times$$ 7 - 76 + 87 = 344 $$\div$$ 2

23 $$\times$$ 7 - 76 + 87 = 172

161 - 76 + 87 = 172

248 - 76 = 172

172 = 172 (This option satisfies the equation.)

​After interchanging the signs, we get, 23 - 7 $$\times$$ 76 + 87 $$\div$$ 344 = 2

23 - 7 $$\times$$ 76 + 0.25 = 2

23 - 532 + 0.25 = 2

23.25 - 532 = 2

-508.75 $$\neq$$ 2 (This option does not satisfy the equation.)​​

​After interchanging the signs, we get, 23 + 7 - 76 $$\times$$ 87 $$\div$$ 344 = 2

23 + 7 - 76 $$\times$$ 0.25 = 2

23 + 7 - 19 = 2

30 - 19 = 2

11 $$\neq$$ 2 (This option does not satisfy the equation.)​

So, only the second option follows the given equation.

Thus, the correct answer is (b).