Question
Download Solution PDFWhich of the following interchange of numbers and mathematical signs would make the given equation correct?
72 ÷ 8 × 9 − 36 + 20 = 80
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe pattern followed here is:
Here, we have to interchange the numbers and mathematical signs that would make the given equation correct.
Let's check each option one by one.
Option 1) 20 and 80, × and +
After interchanging the number and sign we get the:
⇒ 72 ÷ 8 + 9 − 36 × 80 = 20
⇒ 9 + 9 - 36 × 80 = 20
⇒ 9 + 9 - 2880 = 20
⇒ 18 - 2880 = 20
⇒ -2862 ≠ 20
⇒ LHS ≠ RHS
Option 2) 9 and 36, × and ÷
After interchanging the number and sign we get the:
⇒ 72 × 8 ÷ 36 − 9 + 20 = 80
⇒ 72 × 0.222 - 9 +20 = 80
⇒ 15.84 - 9 + 20 = 80
⇒ 35.84 - 9 = 80
⇒ 26.84 ≠ 80
⇒ LHS ≠ RHS
Option 3) 36 and 72, ÷ and −
After interchanging the number and sign we get the:
⇒ 36 - 8 × 9 ÷ 72 + 20 = 80
⇒ 36 - 8 × 0.125 + 20 = 80
⇒ 36 - 1 + 20 = 80
⇒ 56 - 1 = 80
⇒ 55 ≠ 80
⇒ LHS ≠ RHS
Option 4) 8 and 9, + and −
⇒ 72 ÷ 9 × 8 + 36 - 20 = 80
⇒ 8 × 8 + 36 - 20 = 80
⇒ 64 + 36 - 20 = 80
⇒ 100 - 20 = 80
⇒ 80 = 80
⇒ LHS = RHS
Hence, the correct answer is "Option 4".
Last updated on Jul 9, 2025
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