Question
Download Solution PDFWhich two signs and two numbers (not digits) should be interchanged in the following equation to make it correct?
19 ÷ 14 + 7 × 2 × 4 = 80
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 19 ÷ 14 + 7 × 2 × 4 = 80.
BODMAS Table:
Let's check each option one by one.
Option 1) 14 and 2; + and ×
Given: 19 ÷ 14 + 7 × 2 × 4 = 80
After interchanging the symbols, we get;
⇒ 19 ÷ 2 × 7 + 14 + 4 = 80
⇒ 9.5 × 7 + 14 + 4 = 80
⇒ 66.5 + 14 + 4 = 80
⇒ 84.5 ≠ 80
⇒ LHS ≠ RHS
Option 2) 7 and 2; + and ×
Given: 19 ÷ 14 + 7 × 2 × 4 = 80
After interchanging the symbols we get;
⇒ 19 ÷ 14 × 2 + 7 + 4 = 80
⇒ 1.35 × 2 + 7 + 4 = 80
⇒ 2.7 + 7 + 4 = 80
⇒ 13.7 ≠ 80
⇒ LHS ≠ RHS
Option 3) 4 and 19; + and ÷
Given: 19 ÷ 14 + 7 × 2 × 4 = 80
After interchanging the symbols we get;
⇒ 4 + 14 ÷ 7 × 2 × 19 = 80
⇒ 4 + 2 × 2 × 19 = 80
⇒ 4 + 76 = 80
⇒ 80 = 80
⇒ LHS = RHS
Option 4) 19 and 14; + and ÷
Given: 19 ÷ 14 + 7 × 2 × 4 = 80
After interchanging the symbols we get;
⇒ 14 + 19 ÷ 7 × 2 × 4 = 80
⇒ 14 + 2.71 × 2 × 4 = 80
⇒ 14 + 21.68 = 80
⇒ 35.68 ≠ 80
⇒ LHS ≠ RHS
Hence, the correct answer is "Option 3".
Last updated on Jun 30, 2025
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