How many two-digit positive integer less than 25 have the property that they are divisible by each of their digits? list themz

This is easy, since there aren't many positive two digit integers under 25.
Just go through and check each one!

10 - not divisible by 0.
11 - divisible
12 - divisible
13 - not divisible by 3.
14 - not divisible by 4.
15 - divisible
16 - not divisible by 6.
17 - not divisible by 7.
18 - not divisible by 8.
19 - not divisible by 9.
20 - not divisible by 0.
21 - not divisible by 2.
22 - divisible
23 - not divisible by 2 or 3.
24 - divisible

To sum it up, the numbers 11, 12, 15, 22, and 24 are divisible by each of their digits.

Hope this helps (and your fortune is "Good things will come your way if you keep eating pizza.")!