Discussion
What will come in place of the '?' in the following equation, if '+' and '÷' are interchanged and '×' and '-' are interchanged? 27 + 3 - 15 ÷ 33 ÷ 27 + 9 × 7 = ?
Answer: B
The value is 164.
Interchange + with ÷ and × with − in 27 + 3 − 15 ÷ 33 ÷ 27 + 9 × 7. It becomes 27 ÷ 3 × 15 + 33 + 27 ÷ 9 − 7. Then 27 ÷ 3 = 9, 9 × 15 = 135, 27 ÷ 9 = 3, so 135 + 33 + 3 − 7 = 164.
165, 189 and 258 come from applying the swaps wrongly.
After the interchange the expression is 27 ÷ 3 × 15 + 33 + 27 ÷ 9 − 7. Divisions and multiplications are done first from the left: 27 ÷ 3 = 9, then 9 × 15 = 135, and 27 ÷ 9 = 3. Then add and subtract: 135 + 33 + 3 − 7 = 164.
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