Question : Directions: Which two numbers should be interchanged, to make the given equation correct?
96 ÷ 6 – 16 + 12 × 8 = 40
Option 1: 6 and 16
Option 2: 96 and 16
Option 3: 6 and 8
Option 4: 6 and 12
Correct Answer: 6 and 12
Solution :
Given:
96 ÷ 6 – 16 + 12 × 8 = 40
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
6 and 16
96 ÷ 6 – 16 + 12 × 8 = 40
⇒ 96 ÷ 16 – 6 + 12 × 8 = 40
⇒ 6 – 6 + 12 × 8
⇒ 96
⇒ 96
≠ 40
Second option:
96 and 16
96 ÷ 6 – 16 + 12 × 8 = 40
⇒ 16 ÷ 6 – 96 + 12 × 8 = 40
⇒ 2.66 – 96 + 12 × 8
⇒ 2.66 – 96 + 96
⇒ 2.66
≠ 40
Third option:
6 and 8
96 ÷ 6 – 16 + 12 × 8 = 40
⇒ 96 ÷ 8 – 16 + 12 × 6 = 40
⇒ 12 – 16 + 12 × 6
⇒ 12 – 16 + 72 = 68
⇒ 68
≠ 40
Fourth option:
6 and 12
96 ÷ 6 – 16 + 12 × 8 = 40
⇒ 96 ÷ 12 – 16 + 6 × 8 = 40
⇒ 8 – 16 + 6 × 8
⇒ 8 – 16 + 48 = 40
⇒ 40 = 40
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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