The sum of my ones digit and tens digit is 10.
So it has to be one of these nine:
19
28
37
46
55
64
73
82
91
My tens digit is less than my ones digit
That narrows it down to these four:
19
28
37
46
and both my digits are prime.
That narrows it down to 37
I am a prime number.
Indeed, 37 is a prime number.
What number am I?
37.
Edwin