Let's denote the three numbers as a, b, and c.

Given:
a + b + c = 55
a + b = 32
c - a = 8

From the second equation, we can express a in terms of b as:
a = 32 - b

Substitute a in the first equation:
(32 - b) + b + c = 55
32 + c = 55
c = 55 - 32
c = 23

Lastly, substitute c and a in the third equation to find b:
23 - (32 - b) = 8
23 - 32 + b = 8
-9 + b = 8
b = 8 + 9
b = 17

Therefore, the three numbers are:
a = 32 - 17 = 15
b = 17
c = 23

So, the numbers are 15, 17, and 23.