Question
Download Solution PDFWhich two signs should be interchanged to make the following equation correct?
40 ÷ 20 + 50 - 10 × 4 = 40
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 40 ÷ 20 + 50 - 10 × 4 = 40
According to the question, after interchanging the signs:
Option 1) × and +
40 ÷ 20 + 50 - 10 × 4 = 40 ⇒ 40 ÷ 20 × 50 - 10 + 4 = 40
⇒ 40 ÷ 20 × 50 - 10 + 4 = 40
⇒ 2 × 50 - 10 + 4 = 40
⇒ 100 + 4 - 10 = 40
⇒ 104 - 10 = 40
⇒ 94 ≠ 40 (LHS ≠ RHS)
Option 2) + and –
40 ÷ 20 + 50 - 10 × 4 = 40 ⇒ 40 ÷ 20 - 50 + 10 × 4 = 40
⇒ 40 ÷ 20 - 50 + 10 × 4 = 40
⇒ 2 - 50 + 10 × 4 = 40
⇒ 2 + 40 - 50 = 40
⇒ 42 - 50 = 40
⇒ -8 ≠ 40 (LHS ≠ RHS)
Option 3) - and ÷
40 ÷ 20 + 50 - 10 × 4 = 40 ⇒ 40 - 20 + 50 ÷ 10 × 4 = 40
⇒ 40 - 20 + 50 ÷ 10 × 4 = 40
⇒ 40 - 20 + 5 × 4 = 40
⇒ 40 + 20 - 20 = 40
⇒ 60 - 20 = 40
⇒ 40 = 40 (LHS = RHS)
Option 4) + and ÷
40 ÷ 20 + 50 - 10 × 4 = 40 ⇒ 40 + 20 ÷ 50 - 10 × 4 = 40
⇒ 40 + 20 ÷ 50 - 10 × 4 = 40
⇒ 40 + 0.4 - 10 × 4 = 40
⇒ 40 + 0.4 - 40 = 40
⇒ 40.4 - 40 = 40
⇒ 0.4 ≠ 40 (LHS ≠ RHS)
Hence, "Option 3" is the correct answer.
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