Question
Download Solution PDFWhich two signs should be interchanged to make the below equation mathematically correct?
26 - 13 + 18 ÷ 54 × 24 = 31
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 26 - 13 + 18 ÷ 54 × 24 = 31
After interchanging the signs, we get:
1. - and ×
26 × 13 + 18 ÷ 54 - 24 = 31
⇒ 338 + 0.33 - 24 = 31
⇒ 338.3 - 24 = 31
⇒ 314.3 ≠ 31
2. × and ÷
26 - 13 + 18 × 54 ÷ 24 = 31
⇒ 26 - 13 + 18 × 2.25 = 31
⇒ 26 - 13 + 40.5 = 31
⇒ 30.5 - 13 = 31
⇒ 17.5 ≠ 31
3. - and +
26 + 13 - 18 ÷ 54 × 24 = 31
⇒ 26 + 13 - 18 ÷ 54 × 24 = 31
⇒ 26 + 13 - 8 = 31
⇒ 39 - 8 = 31
⇒ 31 = 31
4. + and ÷
26 - 13 ÷ 18 + 54 × 24 = 31
⇒ 26 - 13 ÷ 18 + 54 × 24 = 31
⇒ 26 - 0.72 + 1296 = 31
⇒ 1322 - 0.72 = 31
⇒ 1321.28 ≠ 31
Hence, '- and +' is the correct answer.
Last updated on Jul 8, 2025
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