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
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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