Answer:
65
Explanation:
Clue 1: The number has 2 digits.
The number has to be more than 9, but less than 100.
Clue 2: The number has 13 as a factor.
The number has to be either 13, 26, 39, 52, 65, 78, or 91, since they all have 13 as a factor.
Clue 3: The sum of the digits is 11.
13: 1+4= 5
26: 2+6= 8
39: 3+9= 12
52: 5+2= 7
65: 6+5= 11
78: 7+8= 15
91: 9+1= 10
65 is the only one equalling 11, so 65 is your answer.
Have a lovely rest of your day! :)