Question
Download Solution PDFWhich of the following interchange of numbers (not digits) would make the given equation correct?
8 × 15 ÷ 3 + 14 − 4 = 26
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement : 8 × 15 ÷ 3 + 14 − 4 = 26
According to the question, after interchanging the numbers:
So,
- Option - (1) : 15, 26
Given statement : 8 × 15 ÷ 3 + 14 − 4 = 26
After interchanging
8 × 26 ÷ 3 + 14 − 4 = 15
8 × 8.67 + 14 − 4 = 15
69.36 + 14 - 4 = 15
83.36 - 4 = 15
79.36 ≠ 15 (LHS ≠ RHS)
- Option - (2) : 4, 8
Given statement : 8 × 15 ÷ 3 + 14 − 4 = 26
After interchanging:
4 × 15 ÷ 3 + 14 − 8 = 26
4 × 5 + 14 − 8 = 26
20 + 14 − 8 = 26
34 - 8 = 26
26 = 26 (LHS = RHS)
- Option - (3) : 14, 15
Given statement : 8 × 15 ÷ 3 + 14 − 4 = 26
After interchanging:
8 × 14 ÷ 3 + 15 − 4 = 26
8 × 4.67 + 15 − 4 = 26
37.36 + 15 - 4 = 26
52.56 - 4 = 26
48.56 ≠ 26 (LHS ≠ RHS)
- Option - (4) : 3, 4
Given statement : 8 × 15 ÷ 3 + 14 − 4 = 26
After interchanging:
8 × 15 ÷ 4 + 14 − 3 = 26
8 × 3.75 + 14 − 3 = 26
30 + 14 - 3 = 26
44 - 3 = 26
41 ≠ 26 (LHS ≠ RHS)
Hence, "Option - (2)" is the correct answer.
Last updated on Jun 30, 2025
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