Which of the following interchanges of signs and numbers would make the given equation correct?
12 ÷ 4 + 2 − 6 × 3 = 3 ÷ 12 + 6 × 2 − 4
Show answer & explanation
Correct answer: B
Explanation
The correct option is 2.
12 ¸ 4 + 2 – 6 × 3 = 3 ¸ 12 + 6 × 2 – 4
⇒ 12 + 6 ¸ 2 – 4 × 3 = 3 + 12 ¸ 4 × 2 – 6
⇒ 12 + 3 – 12 = 3 + 3 × 2 – 6
⇒ 15 – 12 = 3 + 6 – 6
⇒ 3 = 3 (L.H.S. = R.H.S.)