What will come in the place of ‘?’ in the following equation if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 2 ÷ 3 + 15 × 5 – 19 = ?
22
Interchange the signs: every ‘+’ becomes ‘–’, every ‘–’ becomes ‘+’, every ‘×’ becomes ‘÷’ and every ‘÷’ becomes ‘×’.
2 ÷ 3 + 15 × 5 – 19 becomes 2 × 3 – 15 ÷ 5 + 19.
Apply BODMAS (division and multiplication first): 2 × 3 = 6 and 15 ÷ 5 = 3, so the expression is 6 – 3 + 19.
Then 6 – 3 = 3 and 3 + 19 = 22.
Check: substituting back, 6 – 3 + 19 = 22, and reversing the interchange gives the original form 2 ÷ 3 + 15 × 5 – 19, so the converted expression was read correctly.
Hence, 22.
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What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘ ÷ ‘ are interchanged and ‘ - ’ and ‘ x ’ are interchanged?
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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
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