Question
Download Solution PDFWhich of the numbers(not digits) should be interchanged in the below equation to make it mathematically correct?
216 ÷ 9 × 16 + 24 - 27 = 126
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1. 16 and 9
216 ÷ 16 × 9 + 24 - 27 = 126
⇒ 13.5 × 9 + 24 - 27 = 126
⇒ 121.5 + 24 - 27 = 126
⇒ 145.5 - 27 = 126
⇒ 118.5 ≠ 126
2. 27 and 9
216 ÷ 27 × 16 + 24 - 9 = 126
⇒ 8 × 16 + 24 - 9 = 126
⇒ 128 + 24 - 9 = 126
⇒ 152 - 9 = 126
⇒ 143 ≠ 126
3. 24 and 27
216 ÷ 9 × 16 + 27 - 24 = 126
⇒ 24 × 16 + 27 - 24 = 126
⇒ 384 + 27 - 24 = 126
⇒ 411 - 24 = 126
⇒ 387 ≠ 126
4. 9 and 24
216 ÷ 24 × 16 + 9 - 27 = 126
⇒ 9 × 16 + 9 - 27 = 126
⇒ 144 + 9 - 27 = 126
⇒ 153 - 27 = 126
⇒ 126 = 126
Hence, '9 and 24' is the correct answer.
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