Question
Download Solution PDFWhich two signs and two numbers should be interchanged in the following equation to make it correct?
13 − 65 ÷ 45 × 21 + 2 = 82
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement : 13 − 65 ÷ 45 × 21 + 2 = 82
According to the question, after interchanging the given two signs and two numbers :
So,
- Option - (1) : 65 and 13, × and +
65 − 13 ÷ 45 + 21 × 2 = 82
65 - 0.28 + 21 × 2 = 82
65 + 42 - 0.28 = 82
107 - 0.28 = 82
106.72 ≠ 82 (LHS ≠ RHS)
- Option - (2) : 45 and 13, × and +
Given statement : 13 − 65 ÷ 45 × 21 + 2 = 82
45 − 65 ÷ 13 + 21 × 2 = 82
45 - 5 + 21 × 2 = 82
45 + 42 - 5 = 82
87 - 5 = 82
82 = 82 (LHS = RHS)
- Option - (3) : 45 and 21, × and +
Given statement : 13 − 65 ÷ 45 × 21 + 2 = 82
13 − 65 ÷ 21 + 45 × 2 = 82
13 - 3.09 + 45 × 2 = 82
13 + 90 - 3.09 = 82
103 - 3.09 = 82
99.91 ≠ 82 (LHS ≠ RHS)
- Option - (4) : 45 and 13, − and +
Given statement : 13 − 65 ÷ 45 × 21 + 2 = 82
45 + 65 ÷ 13 × 21 - 2 = 82
45 + 5 × 21 - 2 = 82
45 + 105 - 2 = 82
150 - 2 = 82
148 ≠ 82 (LHS ≠ RHS)
Last updated on Jun 26, 2025
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