Question
Download Solution PDFWhich two numbers and two signs should be interchanged in the following equation to make it correct?
4 + 2 ÷ 7 + 8 × 9 = 25
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation : 4 + 2 ÷ 7 + 8 × 9 = 25
Now, by interchanging the signs and numbers:
- Option - (1) : 4 and 9, + and ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 × 2 ÷ 7 × 8 + 4 = 25
9 × 0.28 × 8 + 4 = 25
20.16 + 4 = 25
24.16 ≠ 25 (LHS ≠ RHS)
- Option - (2) : 4 and 7, ÷ and ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 + 2 × 4 + 8 ÷ 9 = 25
7 + 2 × 4 + 0.88 = 25
7 + 8 + 0.88 = 25
15.88 ≠ 25 (LHS ≠ RHS)
- Option - (3) : 4 and 9, ÷ and ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 + 2 × 7 + 8 ÷ 4 = 25
9 + 2 × 7 + 2 = 25
9 + 14 + 2 = 25
25 = 25 (LHS = RHS)
- Option - (4) : 4 and 7, + and ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 × 2 ÷ 4 × 8 + 9 = 25
7 × 0.5 × 8 + 9 = 25
28 + 9 = 25
37 ≠ 25 (LHS ≠ RHS)
Hence, "Option - (3)" is the correct answer.
Last updated on Jun 13, 2025
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