Question : Directions: Which two numbers should be interchanged to make the given equation correct?
20 ÷ 6 + 10 – 5 × 2 = 2
Option 1: 5 and 10
Option 2: 6 and 10
Option 3: 10 and 20
Option 4: 5 and 6
Correct Answer: 5 and 6
Solution :
Given:
20 ÷ 6 + 10 – 5 × 2 = 2
Let's check each option –
First Option:
5 and 10
On interchanging the numbers, we get –
20 ÷ 6 + 5 – 10 × 2 = 2
On solving the L.H.S. of the equation –
= 20 ÷ 6 + 5 – 10 × 2
= 3.33 + 5 – 10 × 2
= 3.33 + 5 – 20
= –11.67 ≠ 2
Second Option:
6 and 10
On interchanging the numbers, we get –
20 ÷ 10 + 6 – 5 × 2 = 2
On solving the L.H.S. of the equation –
= 20 ÷ 10 + 6 – 5 × 2
= 2 + 6 – 5 × 2
= 2 + 6 – 10
= –2 ≠ 2
Third Option:
10 and 20
On interchanging the numbers, we get –
10 ÷ 6 + 20 – 5 × 2 = 2
On solving the L.H.S. of the equation –
= 10 ÷ 6 + 20 – 5 × 2
= 1.67 + 20 – 10
= 11.67 ≠ 2
Fourth Option:
5 and 6
On interchanging the numbers, we get –
20 ÷ 5 + 10 – 6 × 2 = 2
On solving the L.H.S. of the equation –
= 20 ÷ 5 + 10 – 6 × 2
= 4 + 10 – 6 × 2
= 4 + 10 – 12
= 14 – 12
= 2
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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