Which two signs should be interchanged in the following equation to make it correct?
78 ÷ 6 × 4 – 3 + 9 = 10
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. - and ×
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Given Equation: 78 ÷ 6 × 4 – 3 + 9 = 10 Let us check all the options: Option 1: + and – The expression becomes = 78 ÷ 6 × 4 + 3 - 9 = 13 × 4 + 3 - 9 = 52 + 3 - 9 = 55 - 9 = 46 Hence, option 1 is incorrect. |
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Option 2: – and × The expression becomes = 78 ÷ 6 – 4 × 3 + 9 = 13 – 4 × 3 + 9 = 13 – 12 + 9 = 13 – 3 = 10 Hence, option 2 is correct. |
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Option 3: × and ÷ The expression becomes = 78 × 6 ÷ 4 – 3 + 9 = 78 × 1.5 – 3 + 9 = 117 + 3 - 9 = 120 - 9 = 111 Hence, option 3 is incorrect. |
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Option 4: ÷ and + The expression becomes = 78 + 6 × 4 – 3 ÷ 9 = 78 + 6 × 4 – 0.33 = 78 + 24 – 0.33 = 102 - 0.33 = 101.67 Hence, option 4 is incorrect. |