Consider the equation:
$$14\times 8÷12+64-2=108$$

This equation is currently incorrect. By interchanging one pair of numbers within the equation, it can be made true. Which pair of numbers should be swapped to balance the equation correctly?

To find the correct pair of numbers to swap, let's test the options using the BODMAS rule:
Given equation: $14\times 8÷12+64-2=108$

Check Option C: Interchange $2$ and $12$
The new equation becomes:

$$14\times 8÷2+64-12=108$$

Applying BODMAS (Division first, then Multiplication, Addition, and Subtraction):

1. Division: $8÷2=4$
2. New expression: $14\times 4+64-12$
3. Multiplication: $14\times 4=56$
4. New expression: $56+64-12$
5. Addition: $56+64=120$
6. Subtraction: $120-12=108$

Since $\text{LHS}=\text{RHS}=108$, swapping $2$ and $12$ correctly balances the equation.