BODMAS RULE:
| B | Brackets in order (),{},[] |
|---|
| O | of |
| D | Division (÷) |
| M | Multiplication (×) |
| A | Addition (+) |
| S | Subtraction (-) |
Given equation is 18 × 7 ÷ 36 + 78 - 14 = 86
Option 1):
By interchanging (6 and 4) and (- and +) in the given equation
Interchanged equation is : 18 × 7 ÷ 34 - 78 +16 = 86
⇒ 18 × 0.206 - 78 +16 = 86
⇒ 3.708 – 78 + 16 = 86
⇒ 3.708 + 16 – 78 = 86
⇒ 19.708 - 78 = 86
⇒ - 58.292 ≠ 86
⇒ LHS ≠ RHS
Option 2):
By interchanging (1 and 4) and (× and ÷) in the given equation
Interchanged equation is : 48 ÷ 7 × 36 + 78 - 41 = 86
⇒ 6.86 × 36 + 78 – 41 = 86
⇒ 246.96 + 78 – 41 = 86
⇒ 324.96 – 41 = 86
⇒ 283.96 ≠ 86
⇒ LHS ≠ RHS
Option 3):
By interchanging (3 and 4) and (× and +) in the given equation
Interchanged equation is : 18 + 7 ÷ 46 × 78 - 13 = 86
⇒ 18 + 0.152 × 78 – 13 = 86
⇒ 18 + 11.856 – 13 = 86
⇒ 29.856 – 13 = 86
⇒ 16.856 ≠ 86
⇒ LHS ≠ RHS
Option 4):
By interchanging (4 and 3) and (÷ and -) in the given equation
Interchanged equation is : 18 × 7 – 46 + 78 ÷ 13 = 86
⇒ 18 × 7 – 46 + 6 = 86
⇒ 126 – 46 + 6 = 86
⇒ 126 + 6 – 46 = 86
⇒ 132 – 46 = 86
⇒ LHS = RHS
Hence, option 4 is the correct answer.