Question
Download Solution PDFWhich two numbers (not digits), from the given options, should be interchanged to make the given equation correct?
158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3.
BODMAS Table:
Let's check each option one by one.
Option 1) 15 and 158
Given: 158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3
After interchanging the numbers we get;
⇒ 15 - 64 × 6 ÷ 2 = 4 × 158 ÷ 3
⇒ 15 - 64 × 3 = 4 × 52.66
⇒ 15 - 192 = 210.64
⇒ -177 ≠ 210.64
⇒ LHS ≠ RHS
Option 2) 64 and 6
Given: 158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3
After interchanging the numbers we get;
⇒ 158 - 6 × 64 ÷ 2 = 4 × 15 ÷ 3
⇒ 158 - 6 × 32 = 4 × 5
⇒ 158 - 192 = 20
⇒ -34 ≠ 1
⇒ LHS ≠ RHS
Option 3) 64 and 4
Given: 158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3
After interchanging the numbers we get;
⇒ 158 - 4 × 6 ÷ 2 = 64 × 15 ÷ 3
⇒ 158 - 4 × 3 = 64 × 5
⇒ 158 - 12 = 320
⇒ 146 ≠ 320
⇒ LHS ≠ RHS
Option 4) 6 and 4
Given: 158 - 64 × 6 ÷ 2 = 4 × 15 ÷ 3
After interchanging the numbers we get;
⇒ 158 - 64 × 4 ÷ 2 = 6 × 15 ÷ 3
⇒ 158 - 64 × 2 = 6 × 5
⇒ 158 - 128 = 30
⇒ 30 = 30
⇒ LHS = RHS
Hence, the correct answer is "Option 4".
Last updated on Jul 8, 2025
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