Question : Directions: By interchanging which two numbers the equation will be correct.
9 × 3 ÷ 6 + 4 – 8 = 1
Option 1: 8 and 9
Option 2: 3 and 6
Option 3: 3 and 4
Option 4: 6 and 8
Correct Answer: 3 and 4
Solution :
Given:
9 × 3 ÷ 6 + 4 – 8 = 1
Replace the given numbers in the options one by one with the original numbers in the given equation.
Let's check each option –
First option:
8 and 9
9 × 3 ÷ 6 + 4 – 8 = 1
⇒ 8 × 3 ÷ 6 + 4 – 9
⇒ 8 × 0.5 + 4 – 9
⇒ 4 + 4 – 9 = 1
⇒ – 1
≠
1
Second option:
3 and 6
9 × 3 ÷ 6 + 4 – 8 = 1
⇒ 9 × 6 ÷ 3 + 4 – 8
⇒ 9 × 2 + 4 – 8
⇒ 18 + 4 – 8
⇒ 14
≠ 1
Third option:
3 and 4
9 × 3 ÷ 6 + 4 – 8 = 1
⇒ 9 × 4 ÷ 6 + 3 – 8
⇒ 6 + 3 – 8
⇒ 1 = 1
Fourth option:
6 and 8
9 × 3 ÷ 6 + 4 – 8 = 1
⇒ 9 × 3 ÷ 8 + 4 – 6
⇒ 9 × 0.375 + 4 – 6
⇒ 1.375
≠ 1
So, only the third option satisfies the equation. Hence, the third option is correct.
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