Question : Directions: By interchanging which two signs the equation will be correct?
15 + 5 ÷ 2 – 9 × 3 = 22
Option 1: + and –
Option 2: × and ÷
Option 3: × and –
Option 4: ÷ and +
Correct Answer: × and ÷
Solution :
Given:
15 + 5 ÷ 2 – 9 × 3 = 22
Let's check the options –
First option:
+ and –
On interchanging the mathematical signs, we get –
= 15 – 5 ÷ 2 + 9 × 3
= 15 – 2.5 + 9 × 3
= 15 – 2.5 + 27
= 39.5 ≠ 22
Second option:
× and ÷
On interchanging the mathematical signs, we get –
= 15 + 5 × 2 – 9 ÷ 3
= 15 + 5 × 2 – 3
= 15 + 10 – 3
= 22
Third option:
× and –
On interchanging the mathematical signs, we get –
= 15 + 5 ÷ 2 × 9 – 3
= 15 + 2.5 × 9 – 3
= 15 + 22.5 – 3
= 34.5 ≠ 22
Fourth option:
÷ and +
On interchanging the mathematical signs, we get –
= 15 ÷ 5 + 2 – 9 × 3
= 3 + 2 – 9 × 3
= 3 + 2 – 27
= –22 ≠ 22
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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