Which two numbers should be interchanged to make the given equation correct?
25 × 9 – 74 + 459$$\div$$​ 3= 52

​Let's check all the options:

(a) 25 and 74  After interchanging these number we get this equation:-

74 × 9 – 25 + 459 ÷ 3 = 52

74 × 9 – 25 + 153 = 52

666 - 25 + 153 = 52

819 - 25 = 52

794 ≠ 52

​Option (a) is incorrect.

(b) 74 and 3 After interchanging these number we get this equation:-

25 × 9 – 3 + 459 ÷ 74 = 52

25 × 9 – 3 + 6.2 = 52 = 52
225–3+6.2 = 52
231.2 - 3 =52
228.2 ≠ 52

Option (b)is incorrect.

(c) 9 and 3 After interchanging these number we get this equation:-

25 × 3 – 74 + 459 ÷ 9 = 52

25 × 3 – 74 + 51 = 52

75 - 74 + 51 = 52

126 -74 = 52

52 = 52

(d) 25 and 3 After interchanging these number we get this equation:-

3 × 9 – 74 + 459 ÷ 25 = 52

3 × 9 – 74 + 18.3 = 52

27 - 74 + 18.3 = 52

45.3 -74 = 52

- 28.7 ≠ 52

Option (d) is not correct.

Thus, the correct option is (c)