This can be solved by simply eliminating and using easy math concepts. (If you want the answer you will have to read the entire explanation)
Our numbers - 52, 29, 36, 75, 24, 47.
Captain's number was odd, but not prime. There is only one odd number that is not prime, 75. (75 is divisible by 5 and 3).
Sally chose a number that is divisible by 4 and 6. There is only ONE number that is divisible by 4 and 6, which is 24. Fun fact, if a number is divisible by a and b, then the number is divisible by a * b.
So we know:
Captain - 75
Sally - 24.
We have left: 52, 29, 36, 47.
Newton chose a number that is divisible by 13, there is only one number that is divisible by 13, which is 52.
So we have left: 29, 36, 47.
Flame's number is even but not the smallest numbers. We have 3 even numbers, 24, 36, and 52. Since 24 and 52 are taken, obviously Flame's number is 36.
Now we have left: 29 and 47
Tyger's number is larger than average. Now this is easy, the answer must be 47 as there are only two answers left, and you choose the larger one. 29 is smaller than average (you can check it).
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