What is the sum of the positive integers k such that k/27 is greater than 2/3 and less than 8/9?

So we want to make them have the same denomenator so

k/27
2/3 times 9/9=18/27
8/9 times 3/3=24/27

so k/27>18/27 and k/27<24/27 or
18/27<k/27<24/27

the possible numbers for k are 19,20,21,22,23
so the sum of the positive integers could be any positive whole numbers (1,2,3,4, etc) that add up to 19,20,21,22,23 exg 10,9      10,10     10,11  20,2  21,2 etc

Ithink it is15not sure tho