Question : Directions: Which two signs should be interchanged to make the given equation correct?
9 ÷ 3 + 7 = 4 – 6
Option 1: – and =
Option 2: ÷ and –
Option 3: + and –
Option 4: ÷ and =
Correct Answer: – and =
Solution :
Given:
9 ÷ 3 + 7 = 4 – 6
Replace the given symbols according to the options one by one with the original symbols in the given equation.
First option:
– and =
⇒ 9 ÷ 3 + 7 – 4 = 6
= 3 + 7 – 4
= 6 = R.H.S.
Second option:
÷ and –
⇒ 9 – 3 + 7 = 4 ÷ 6
= 13 ≠ 0.67
Third option:
+ and –
⇒ 9 ÷ 3 – 7 = 4 + 6
= 3 – 7 = 10
= –4 ≠ 10
Fourth option:
÷ and =
⇒ 9 = 3 + 7 ÷ 4 – 6
= 9 = 3 + 1.75 – 6
= 9 ≠ –1.25
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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