Well, let's see ...
If it's between 20 and 30, then its ten digit has to be 2.
And if its ten digit is 2, then its one digit has to be 9.
So the real question we have to answer is: "Is 29 a Prime number ?"
The answer is: Yes. So that must be it.
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The prime number between 20 and 30 whose ones digit is 7 greater than its tens digit is 23. The tens digit is 2, and the ones digit is 3, which is 7 greater than 2. Additionally, 23 is a prime number because it is only divisible by 1 and itself, with no other factors.
Greatest 2 digit prime number is 97. Lease 2 digit prime number is 11.
The only other single-digit number higher than 5 which is a prime number is 7 - 9 is equal to 3 squared, and is thus not a prime number.
Any prime number greater than 10 is an odd number but cannot end in 5 as this makes it divisible by 5. Therefore the ones digit of any prime number greater than 10 must be 1, 3, 7 or 9.
23