Question
Download Solution PDFWhich two signs and two numbers should be interchanged in the following equation to make it correct?
14 × 6 ÷ 12 + 15 - 9 = 203
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement : 14 × 6 ÷ 12 + 15 - 9 = 203
According to the question, after interchanging the given two signs and two numbers :
So,
- Option - (1) : 15, 6, +, ÷
14 × 15 + 12 ÷ 6 - 9 = 203
14 × 15 + 2 - 9 = 203
210 + 2 - 9 = 203
212 - 9 = 203
203 = 203 (LHS = RHS)
- Option - (2) : 12, 15, -, ×
14 - 6 ÷ 15 + 12 × 9 = 203
14 - 0.4 + 12 × 9 = 203
14 + 108 - 0.4 =203
112 - 0.4 = 203
111.6 ≠ 203 (LHS ≠ RHS)
- Option - (3) : 12, 9, ÷, -
14 × 6 - 9 + 15 ÷ 12 = 203
14 × 6 - 9 + 1.25 = 203
84 + 1.25 - 9 = 203
85.25 - 9 = 203
76.25 ≠ 203 (LHS ≠ RHS)
- Option - (4) : 14, 6, ÷, ×
6 ÷ 14 × 12 + 15 - 9 = 203
0.43 × 12 + 15 - 9 = 203
5 + 15 - 9 = 203
20 - 9 ≠ 203 (LHS ≠ RHS)
11 ≠ 203 (LHS ≠ RHS)
Hence, "Option - (1)" is the correct answer.
Last updated on Jul 22, 2025
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