The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?Choices:- 66, 77 84, 96 94, 108 66, 106

To find the numbers that satisfy the given conditions, we need to consider the factors of the H.C.F. (Highest Common Factor) and the difference between the numbers.

The H.C.F. of the two numbers is 12. This means that both numbers are divisible by 12.

The difference between the numbers is also 12. This means that one number is 12 greater than the other.

Let's analyze the given choices:

1. 66, 77: The difference between these numbers is 11, not 12. Therefore, this choice does not satisfy the given conditions.

2. 84, 96: The difference between these numbers is 12, which satisfies the given conditions. Additionally, both numbers are divisible by 12. Therefore, this choice can be the numbers.

3. 94, 108: The difference between these numbers is 14, not 12. Therefore, this choice does not satisfy the given conditions.

4. 66, 106: The difference between these numbers is 40, not 12. Therefore, this choice does not satisfy the given conditions.

Based on the analysis, the numbers that can satisfy the given conditions are 84 and 96.