Question : Directions: Which two numbers should be interchanged, to make the given equation correct?
4 × 6 – 3 + 8 = 14
Option 1: 3 and 6
Option 2: 6 and 4
Option 3: 3 and 8
Option 4: 8 and 14
Correct Answer: 3 and 6
Solution :
Given:
4 × 6 – 3 + 8 = 14
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:
3 and 6
4 × 6 – 3 + 8 = 14
⇒ 4 × 3 – 6 + 8 = 14
⇒ 12 – 6 + 8 = 14
⇒ 14 = 14
Second option:
6 and 4
4 × 6 – 3 + 8 = 14
⇒ 6 × 4 – 3 + 8 = 14
⇒ 24 – 3 + 8 = 14
⇒ 29
≠ 14
Third option:
3 and 8
4 × 6 – 3 + 8 = 14
⇒ 4 × 6 – 8 + 3 = 14
⇒ 24 – 8 + 3 = 14
⇒ 19
≠ 14
Fourth option:
8 and 14
4 × 6 – 3 + 8 = 14
⇒ 4 × 6 – 3 + 14 = 8
⇒ 24 – 3 + 14 = 8
⇒ 35
≠ 8
So, only the first option satisfies the equation. Hence, the first option is correct.
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