Question : Directions: Which two numbers should be interchanged, to make the given equation correct? 3 × 7 – 5 + 2 = 10
Option 1: 10 and 7
Option 2: 7 and 5
Option 3: 3 and 5
Option 4: 3 and 2
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Correct Answer: 7 and 5
Solution : Given: 3 × 7 – 5 + 2 = 10
Replace the given numbers according to the options one by one with the original numbers in the given equation. First option: 10 and 7 3 × 7 – 5 + 2 = 10 ⇒ 3 × 10 – 5 + 2 = 7 = 30 – 3 = 27 ≠ 7 Second option: 7 and 5 3 × 7 – 5 + 2 = 10 ⇒ 3 × 5 – 7 + 2 = 10 = 15 – 5 = 10 Third option: 3 and 5 3 × 7 – 5 + 2 = 10 ⇒ 5 × 7 – 3 + 2 = 10 = 35 – 1 = 34 ≠ 10 Fourth option: 3 and 2 3 × 7 – 5 + 2 = 10 ⇒ 2 × 7 – 5 + 3 = 10 = 14 – 2 = 12 ≠ 10
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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