Question
Download Solution PDFWhich two signs and two numbers should be interchanged to make the following equation correct?
840 ÷ 38 - 7 + 10 × 12 = 462
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement : 840 ÷ 38 - 7 + 10 × 12 = 462
According to the question, after interchanging the signs and numbers:
So,
- Option - (1) : 12 and 10, ÷ and +
840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 + 38 - 7 ÷ 12 × 10 = 462
840 + 38 - 0.58 × 10 = 462
840 + 38 - 5.8 = 462
878 - 5.8 = 462
872.2 ≠ 462 (LHS ≠ RHS)
- Option - (2) : 12 and 38, × and -
840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 ÷ 12 × 7 + 10 - 38 = 462
70 × 7 + 10 - 38 = 462
490 + 10 - 38 = 462
500 - 38 = 462
462 = 462 (LHS = RHS)
- Option - (3) : 12 and 7, + and ×
840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 ÷ 38 - 12 × 10 + 7 = 462
22.10 - 12 × 10 + 7 = 462
22.10 + 7 - 120 = 462
29.10 - 120 = 462
-90.9 ≠ 462 (LHS ≠ RHS)
- Option - (4) : 840 and 10, + and -
840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 10 ÷ 38 + 7 - 840 × 12 = 462
0.26 + 7 - 840 × 12 = 462
0.26 + 7 - 10080 = 462
7.26 - 10080 = 462
-10072.74 ≠ 462 (LHS ≠ RHS)
Last updated on Jul 7, 2025
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