Given equation: (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2.
BODMAS Table:
Let's check each option one by one.
Option 1) 11 and 15
Given: (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
After interchanging the numbers we get;
⇒ (63 ÷ 9 + 17) ÷ 15 = 11 – 195 ÷ 17 – 2
⇒ (7 + 17) ÷ 15 = 11 – 11.48 – 2
⇒ 24 ÷ 15 = –2.48
⇒ 1.6 ≠ –2.48
⇒ LHS ≠ RHS
Option 2) 17 and 15
Given: (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
After interchanging the numbers we get;
⇒ (63 ÷ 9 + 15) ÷ 11 = 17 – 195 ÷ 15 – 2
⇒ (7 + 15) ÷ 11 = 17 – 13 – 2
⇒ 22 ÷ 11 = 2
⇒ 2 = 2
⇒ LHS = RHS
Option 3) 195 and 63
Given: (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
After interchanging the numbers we get;
⇒ (195 ÷ 9 + 17) ÷ 11 = 15 – 63 ÷ 17 – 2
⇒ (21.67 + 17) ÷ 11 = 15 – 3.7 – 2
⇒ 38.67 ÷ 11 = 9.3
⇒ 3.52 ≠ 9.3
⇒ LHS ≠ RHS
Option 4) 2 and 15
Given: (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
After interchanging the numbers we get;
⇒ (63 ÷ 9 + 17) ÷ 11 = 2 – 195 ÷ 17 – 15
⇒ (7 + 17) ÷ 11 = 2 – 11.48 – 15
⇒ 24 ÷ 11 = -24.48
⇒ 2.18 ≠ -24.48
⇒ LHS ≠ RHS
Hence, the correct answer is "Option 2".