Question : Directions: Which two signs should be interchanged to make the given equation correct?
7 × 9 + 3 ÷ 7 − 3 = 25
Option 1: ÷ and ×
Option 2: ÷ and +
Option 3: + and ×
Option 4: + and −
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Correct Answer: ÷ and +
Solution :
Given:
7 × 9 + 3 ÷ 7 − 3 = 25
Replace the given signs in the options one by one with the original signs in the given equation.
First option:
÷ and ×
= 7 ÷ 9 + 3 × 7 − 3 = 25
= 0.78 + 21 − 3
= 18.78 ≠ 25
Second option:
÷ and +
= 7 × 9 ÷ 3 + 7 − 3 = 25
= 21 + 4
= 25 = R.H.S.
Third option:
+ and ×
= 7 + 9 × 3 ÷ 7 − 3 = 25
= 7 + 3.85 − 3
= 7.85 ≠ 25
Fourth option
: + and −
= 7 × 9 − 3 ÷ 7 + 3 = 25
= 63 − 0.43 + 3
= 65.57 ≠ 25
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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