Question
Download Solution PDFWhich two signs should be interchanged to make the following equation correct?
143 + 13 - 8 ÷ 2 × 5 = 13
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 143 + 13 - 8 ÷ 2 × 5 = 13
According to the question, after interchanging the numbers :
Option 1) - and +
143 + 13 - 8 ÷ 2 × 5 = 13 ⇒ 143 - 13 + 8 ÷ 2 × 5 = 13
⇒ 143 - 13 + 8 ÷ 2 × 5 = 13
⇒ 143 - 13 + 4 × 5 = 13
⇒ 143 + 20 - 13 = 13
⇒ 163 - 13 = 13
⇒ 150 ≠ 13 (LHS ≠ RHS)
Option 2) ÷ and ×
143 + 13 - 8 ÷ 2 × 5 = 13 ⇒ 143 + 13 - 8 × 2 ÷ 5 = 13
⇒ 143 + 13 - 8 × 2 ÷ 5 = 13
⇒ 143 + 13 - 8 × 0.4 = 13
⇒ 143 + 13 - 3.2 = 13
⇒ 156 - 3.2 = 13
⇒152.8 ≠ 13 (LHS ≠ RHS)
Option 3) + and ×
143 + 13 - 8 ÷ 2 × 5 = 13 ⇒ 143 × 13 - 8 ÷ 2 + 5 = 13
⇒ 143 × 13 - 8 ÷ 2 + 5 = 13
⇒ 143 × 13 - 4 + 5 = 13
⇒ 1859 + 5 - 4 = 13
⇒ 1864 - 4 = 13
⇒ 1860 ≠ 13 (LHS ≠ RHS)
Option 4) ÷ and +
143 + 13 - 8 ÷ 2 × 5 = 13 ⇒ 143 ÷ 13 - 8 + 2 × 5 = 13
⇒ 143 ÷ 13 - 8 + 2 × 5 = 13
⇒ 11 - 8 + 2 × 5 = 13
⇒ 11 + 10 - 8 = 13
⇒ 21 - 8 = 13
⇒ 13 = 13 (LHS = RHS)
Hence, "Option 4" is the correct answer.
Last updated on Apr 24, 2025
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