Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
152 + 8 × 16 ÷ 9 – 4 = 309
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven : 152 + 8 × 16 ÷ 9 – 4 = 309
According to the question, after replacing the signs :
Option 1): ÷ and -
152 + 8 × 16 ÷ 9 – 4 = 309 ⇒ 152 + 8 × 16 - 9 ÷ 4 = 309
152 + 8 × 16 - 9 ÷ 4 = 309
152 + 8 × 16 - 2.25 = 309
152 + 128 - 2.25 = 309
280 - 2.25 = 309
277.75 ≠ 309 (LHS ≠ RHS)
Option 2): ÷ and +
152 + 8 × 16 ÷ 9 – 4 = 309 ⇒ 152 ÷ 8 × 16 + 9 – 4 = 309
152 ÷ 8 × 16 + 9 – 4 = 309
19 × 16 + 9 – 4 = 309
304 + 9 - 4 = 309
313 - 4 = 309
309 = 309 (LHS = RHS)
Option 3): - and +
152 + 8 × 16 ÷ 9 – 4 = 309 ⇒ 152 - 8 × 16 ÷ 9 + 4 = 309
152 - 8 × 16 ÷ 9 + 4 = 309
152 - 8 × 1.78 + 4 = 309
152 + 4 - 14.24 = 309
156 - 14.24 = 309
141.76 ≠ 309 (LHS ≠ RHS)
Option 4): + and ×
152 + 8 × 16 ÷ 9 – 4 = 309 ⇒ 152 × 8 + 16 ÷ 9 – 4 = 309
152 × 8 + 16 ÷ 9 – 4 = 309
152 × 8 + 1.78 – 4 = 309
1216 + 1.78 - 4 = 309
1217.78 - 4 = 309
1213.78 ≠ 309 (LHS ≠ RHS)
Hence, "Option 2" is the correct answer.
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