The number is a 2 digit number greater than 5 and 12 the number is not divisible by 2 both digits of this number are the same the sum of the digits of this number is one less than half the number of days in november

To find the answer, let's break down the given information step by step:

1. The number is a 2-digit number greater than 5:
Since the number is greater than 5, it means the tens digit must be at least 6.

2. The number is not divisible by 2:
Since the number is not divisible by 2, the units digit must be an odd number (1, 3, 5, 7, or 9).

3. Both digits of this number are the same:
This means that the tens and units digit are the same.

4. The sum of the digits of this number is one less than half the number of days in November:
November has 30 days. Half of 30 is 15, and one less than 15 is 14. Therefore, the sum of the digits must be 14.

Using these conditions, we can narrow down the possibilities. Let's consider the options:

If the tens digit is 6, then the units digit must also be 6 to satisfy condition 3. However, 6 + 6 = 12, which does not equal 14.

If the tens digit is 7, again, the units digit must be 7. However, 7 + 7 = 14, which satisfies condition 4.

Therefore, the number that meets all the given conditions is 77.