Solutions
By checking option A:
Given expression is-
15 ÷3 + 6 × 8 – 7 = 6 + 49 ÷8 × 3 + 12
After interchanging-
15 ÷6 + 3 × 8 – 7 = 3 + 49 ÷8 × 6 + 12
After Solving,
15 ÷6 + 3 × 8 – 7 = 3 + 49 ÷8 × 6 + 12
As, 15 is not perfectly divisible 6, so it will result in decimal.
Therefore, it's not the correct option.
By checking option B:
Given expression is-
15 ÷3 + 6 × 8 – 7 = 6 + 49 ÷8 × 3 + 12
After interchanging-
15 ÷3 + 6 × 7 – 8 = 6 + 49 ÷7 × 3 + 12
After Solving,
15 ÷3 + 6 × 7 – 8 = 6 + 49 ÷7 × 3 + 12
Or, 5 + 42 – 8 = 6 + 7 × 3 + 12
Or, 5 + 42 – 8 = 6 + 21 + 12
Or, 47 – 8 = 27 + 12
Or, 39 = 27 + 12
So, 39 = 39
As, we found the correct answer, so no need to check more options.
Hence, option B is the correct answer.