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
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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