Which two numbers and two signs should be interchanged in the following equation to make it correct?

14 + 16 - 14 × 9 ÷ 4 = 61 

The logic followed here is :-

By using BODMAS RULE :

Given equation: 14 + 16 - 14 × 9 ÷ 4 = 61

1) 16 and 14, + and ×.
After interchanging ‘6 and 14’, and '+' and '×', we get:

L.H.S = 16 × 14 - 16 + 9 ÷ 4 

= 224 - 16 + 2.25

= 210.25 ≠ R.H.S

So, this option does not provide a correct equation.

2) 16 and 9, + and -
After interchanging '16 and 9', and '+' and '-', we get:

L.H.S = 14 - 9 + 14 × 16 ÷ 4

= 5 + 56

= 61 = R.H.S

Thus, this option provides a correct equation.

3) 14 and 4, - and +
After interchanging '14 and 4', and '-' and '+', we get:

L.H.S = 4 - 16 + 4 × 9 ÷ 14 

= 4 - 16 + 2.5

= - 9.5 ≠ R.H.S

Thus, this option does not provide a correct equation.

4) 14 and 9, + and ×
After interchanging '14 and 9', and '+' and '×', we get:

L.H.S = 9 × 16 - 9 + 14 ÷ 4

= 144 - 9 + 3.5

= 138.5 ≠ R.H.S

Thus, this option does not provide a correct equation.

Hence, 16 and 9, + and - is the correct answer.