Question
Download Solution PDFWhich two signs should be interchanged to make the following equation correct?
169 ÷ 13 - 18 × 4 + 5 = 15
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 169 ÷ 13 - 18 × 4 + 5 = 15
According to the question, after interchanging the signs :
Option 1) - and +
169 ÷ 13 - 18 × 4 + 5 = 15 ⇒ 169 ÷ 13 + 18 × 4 - 5 = 15
⇒ 169 ÷ 13 + 18 × 4 - 5 = 15
⇒ 13 + 18 × 4 - 5 = 15
⇒ 13 + 72 - 5 = 15
⇒ 85 - 5 = 15
80 ≠ 15 (LHS ≠ RHS)
Option 2) + and ×
169 ÷ 13 - 18 × 4 + 5 = 15 ⇒ 169 ÷ 13 - 18 + 4 × 5 = 15
⇒ 169 ÷ 13 - 18 + 4 × 5 = 15
⇒ 13 - 18 + 4 × 5 = 15
⇒ 13 + 20 - 18 = 15
⇒ 33 - 18 = 15
15 = 15 (LHS = RHS)
Option 3) ÷ and +
169 ÷ 13 - 18 × 4 + 5 = 15 ⇒ 169 + 13 - 18 × 4 ÷ 5 = 15
⇒ 169 + 13 - 18 × 4 ÷ 5 = 15
⇒ 169 + 13 - 18 × 0.8 = 15
⇒ 169 + 13 - 14.4 = 15
⇒ 182 - 14.4 = 15
167.6 ≠ 15 (LHS ≠ RHS)
Option 4) ÷ and ×
169 ÷ 13 - 18 × 4 + 5 = 15 ⇒ 169 × 13 - 18 ÷ 4 + 5 = 15
⇒ 169 × 13 - 18 ÷ 4 + 5 = 15
⇒ 169 × 13 - 4.5 + 5 = 15
⇒ 2197 + 5 - 4.5 = 15
⇒ 2202 - 4.5 = 15
2197.5 ≠ 15 (LHS ≠ RHS)
Hence, "Option 2" is the correct answer.
Last updated on Apr 24, 2025
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