Which two mathematical signs need to be interchanged to make the following equation correct?
$$2+10\times 12-4÷24=8$$

Let's test the options using the BODMAS rule to balance the equation:
* Option C: Interchanging $÷$ and $-$
The equation becomes:

$$2+10\times 12÷4-24=8$$

Applying BODMAS:
1. Division: $12÷4=3$

$$2+10\times 3-24=8$$

2. Multiplication: $10\times 3=30$

$$2+30-24=8$$

3. Addition: $2+30=32$

$$32-24=8$$

4. Subtraction: $8=8$

Since LHS = RHS, interchanging $÷$ and $-$ balances the equation perfectly.