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
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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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