Explanation:

Let's break down each option by interchanging the numbers and checking if the result becomes 173.

- Original Expression:

52 - 36 + 141 × 63 ÷ 47

Option 1: Interchange 141 and 52

New Expression: 141 - 36 + 52 × 63 ÷ 47

Calculation:

141 - 36 = 105

52 × 63 = 3276

3276 ÷ 47 ˜ 69.7

105 + 69.7 = 174.7 (*Not 173*)

Option 2: Interchange 47 and 63

New Expression: 52 - 36 + 141 × 47 ÷ 63

Calculation:

141 × 47 = 6627

6627 ÷ 63 ˜ 105.19

52 - 36 = 16

16 + 105.19 = 121.19 (*Not 173*)

Option 3: Interchange 52 and 36

New Expression: 36 - 52 + 141 × 63 ÷ 47

Calculation:

36 - 52 = -16

141 × 63 = 8883

8883 ÷ 47 = 189

-16 + 189 = 173

This is correct!

Option 4: Interchange 63 and 141

New Expression: 52 - 36 + 63 × 141 ÷ 47 (same as the original expression)

Calculation:

63 × 141 = 8883

8883 ÷ 47 = 189

52 - 36 = 16

16 + 189 = 205 (*Not 173*)

Correct Option:

- Option:3, 52 and 36