Question
Download Solution PDFWhich two signs and numbers need to be interchanged to make the following equation correct?
(31 × 3) - (27 × 4) + (81 ÷ 9) = 126
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1. 27 and 81, + and -
(31 × 3) + (81 × 4) - (27 ÷ 9) = 126
⇒ (31 × 3) + (81 × 4) - (27 ÷ 9) = 126
⇒ 93 + 324 - 3 = 126
⇒ 417 - 3 = 126
⇒ 414 ≠ 126
2. 31 and 27, + and -
(27 × 3) + (31 × 4) - (81 ÷ 9) = 126
⇒ 81 + 124 - 9 = 126
⇒ 205 - 9 = 126
⇒ 196 ≠ 126
3. 3 and 4, ÷ and +
(31 × 4) - (27 × 3) ÷ (81 + 9) = 126
⇒ 124 - 81 ÷ 90 = 126
⇒ 124 - 0.9 = 126
⇒ 123.1 ≠ 126
4. 27 and 9, + and -
(31 × 3) + (9 × 4) - (81 ÷ 27) = 126
⇒ 93 + 36 - 3 = 126
⇒ 129 - 3 = 126
⇒ 126 = 126
Hence, '27 and 9, + and -' is the correct answer.
Last updated on Jun 13, 2025
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