Question : Directions: Which two numbers should be interchanged to make the given equation correct?
10 + 2 × 12 ÷ 6 – 4 = 16
Option 1: 6 and 12
Option 2: 2 and 10
Option 3: 10 and 4
Option 4: 2 and 4
Correct Answer: 2 and 4
Solution :
Given:
10 + 2 × 12 ÷ 6 – 4 = 16
Let's check each option –
First Option:
6 and 12
On interchanging the numbers, we get –
10 + 2 × 6 ÷ 12 – 4 = 16
On solving the L.H.S. of the equation –
= 10 + 2 × 6 ÷ 12 – 4
= 10 + 1 – 4
= 7 ≠ 16
Second Option:
2 and 10
On interchanging the numbers, we get –
2 + 10 × 12 ÷ 6 – 4 = 16
On solving the L.H.S. of the equation –
= 2 + 10 × 12 ÷ 6 – 4
= 2 + 10 × 2 – 4
= 2 + 20 – 4
= 18 ≠ 16
Third Option:
10 and 4
On interchanging the numbers, we get –
4 + 2 × 12 ÷ 6 – 10 = 16
On solving the L.H.S. of the equation –
= 4 + 2 × 12 ÷ 6 – 10
= 4 + 2 × 2 – 10
= 4 + 4 – 10
= –2 ≠ 16
Fourth Option:
2 and 4
On interchanging the numbers, we get –
10 + 4 × 12 ÷ 6 – 2 = 16
On solving the L.H.S. of the equation –
= 10 + 4 × 12 ÷ 6 – 2
= 10 + 4 × 2 – 2
= 10 + 8 – 2
= 16
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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