Question
Download Solution PDFWhich of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
144 - 12 + 18 × 6 ÷ 24 = 96
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 144 - 12 + 18 × 6 ÷ 24 = 96.
BODMAS Table:
Let's check each option one by one.
Option 1) - and ÷
Given: 144 - 12 + 18 × 6 ÷ 24 = 96
After interchanging the numbers we get;
⇒ 144 ÷ 12 + 18 × 6 - 24 = 96
⇒ 12 + 18 × 6 - 24 = 96
⇒ 12 + 108 - 24 = 96
⇒ 120 - 24 = 96
⇒ 96 = 96
⇒ LHS = RHS
Option 2) - and ×
Given: 144 - 12 + 18 × 6 ÷ 24 = 96
After interchanging the numbers we get;
⇒ 144 × 12 + 18 - 6 ÷ 24 = 96
⇒ 144 × 12 + 18 - 0.25 = 96
⇒ 1728 + 18 - 0.25 = 96
⇒ 1746 - 0.25 = 96
⇒ 1745.75 ≠ 96
⇒ LHS ≠ RHS
Option 3) × and ÷
Given: 144 - 12 + 18 × 6 ÷ 24 = 96
After interchanging the numbers we get;
⇒ 144 - 12 + 18 ÷ 6 × 24 = 96
⇒ 144 - 12 + 3 × 24 = 96
⇒ 144 - 12 + 72 = 96
⇒ 216 - 12 = 96
⇒ 204 ≠ 96
⇒ LHS ≠ RHS
Option 4) - and +
Given: 144 - 12 + 18 × 6 ÷ 24 = 96
After interchanging the numbers we get;
⇒ 144 + 12 - 18 × 6 ÷ 24 = 96
⇒ 144 + 12 - 18 × 0.25 = 96
⇒ 144 + 12 - 4.5 = 96
⇒ 156 - 4.5 = 96
⇒ 151.5 ≠ 96
⇒ LHS ≠ RHS
Hence, the correct answer is "Option 1".
Last updated on Jun 12, 2025
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