Which two numbers should be interchanged to make the given equation correct?

120 ÷ 12 × 6 + 24 - 15 = 27

Given equation: 120 ÷ 12 × 6 + 24 - 15 = 27.

BODMAS Table: 

Let's check each option one by one.

Option 1) 12 and 6

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 6 × 12 + 24 - 15 = 27

⇒ 20 × 12 + 24 - 15 = 27

⇒ 240 + 24 - 15 = 27

⇒ 264 - 15 = 27

⇒ 249 ≠ 27

⇒ LHS ≠ RHS

Option 2) 12 and 15

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 15 × 6 + 24 - 12 = 27

⇒ 8 × 6 + 24 - 12 = 27

⇒ 48 + 24 - 12 = 27

⇒ 72 - 12 = 27

⇒ 60 ≠ 27

⇒ LHS ≠ RHS

Option 3) 12 and 24

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 24 × 6 + 12 - 15 = 27

⇒ 5 × 6 + 12 - 15 = 27

⇒ 30 + 12 - 15 = 27

⇒ 42 - 15 = 27

⇒ 27 = 27

⇒ LHS = RHS

Option 4) 6 and 24

Given: 120 ÷ 12 × 6 + 24 - 15 = 27

After interchanging the numbers we get;

⇒ 120 ÷ 12 × 24 + 6 - 15 = 27

⇒ 10 × 24 + 6 - 15 = 27

⇒ 240 + 6 - 15 = 27

⇒ 246 - 15 = 27

⇒ 231 ≠ 27

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".