Which two numbers (not digits) should be interchanged to make the given…

To determine which two numbers should be interchanged to make the equation 24 ÷ 3 - 4 × 2 + 6 × 5 + 12 = 50 correct, we need to test the given options by applying the BODMAS/PEMDAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

Step-by-Step Verification of Option 3
According to the provided solution, we test the interchange of 24 and 12:

Interchange: Replace 24 with 12 and 12 with 24.
The new equation becomes: 12 ÷ 3 - 4 × 2 + 6 × 5 + 24 = ?

Apply BODMAS/PEMDAS:

Division: 12 ÷ 3 = 4
Equation: 4 - 4 × 2 + 6 × 5 + 24

Multiplication: 4 × 2 = 8 AND 6 × 5 = 30
Equation: 4 - 8 + 30 + 24

Addition and Subtraction (left to right):
4 - 8 = -4
-4 + 30 = 26
26 + 24 = 50

Since the result is 50, the interchange is correct.