Question
Download Solution PDFWhich two signs and two numbers should be interchanged in the following equation to make it correct?
264 + 24 × 9 ÷ 60 – 4 = 630
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe apply the options to the given equation & solve it by using BODMAS rule:
Given Equation: 264 + 24 × 9 ÷ 60 – 4 = 630.
Now, Interchanging the numbers and sign:
Option 1) 264 and 9, ÷ and −
9 + 24 × 264 - 60 ÷ 4 = 630
9 + 24 × 264 - 15 = 630
9 + 6336 - 15 = 630
6345 - 15 = 630
6330 ≠ 630
LHS ≠ RHS.
Option 2) 264 and 9, + and –
9 - 24 × 264 ÷ 60 + 4 = 630
9 - 24 × 4.4 + 4 = 630
9 - 105.6 + 4 = 630
13 - 105.6 = 630
-92.6 ≠ 630
LHS ≠ RHS.
Option 3) 4 and 24, ÷ and +
264 ÷ 4 × 9 + 60 – 24 = 630
66 × 9 + 60 – 24 = 630
594 + 60 – 24 = 630
654 – 24 = 630
630 = 630
LHS = RHS.
Option 4) 4 and 9, − and ×
264 + 24 - 4 ÷ 60 × 9 = 630
264 + 24 - 0.06 × 9 = 630
264 + 24 - 0.59 = 630
288 - 0.59 = 630
287.41 ≠ 630
LHS ≠ RHS.
Hence, the correct answer is "Option 3".
Last updated on Jul 12, 2025
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