Question : Directions: After interchanging which two numbers, the value of the given equation will be 20. 8 × 2 + 6 ÷ 3 – 7
Option 1: 6 and 7
Option 2: 8 and 7
Option 3: 2 and 6
Option 4: 2 and 3
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Correct Answer: 2 and 3
Solution : Given: 8 × 2 + 6 ÷ 3 – 7
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 6 and 7 8 × 2 + 6 ÷ 3 – 7 = 8 × 2 + 7 ÷ 3 – 6 = 16 + 2.33 – 6 = 12.33 ≠ 20 Second option: 8 and 7 8 × 2 + 6 ÷ 3 – 7 = 7 × 2 + 6 ÷ 3 – 8 = 7 × 2 + 2 – 8 = 8 ≠ 20 Third option: 2 and 6 8 × 2 + 6 ÷ 3 – 7 = 8 × 6 + 2 ÷ 3 – 7 = 8 × 6 + 0.66 – 7 = 41.66 ≠ 20 Fourth option: 2 and 3 8 × 2 + 6 ÷ 3 – 7 = 8 × 3 + 6 ÷ 2 – 7 = 8 × 3 + 3 – 7 = 20
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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