Answer:
13 and 8
Step-by-step explanation:
a-b = 5
==> a = b+5
a^2 + b^2 = 233
plug in a = b+5: (b+5)^2 + b^2 = 233
b^ + 10b + 25 + b^2 = 233
2b^2 + 10b -208 = 0
use the quadratic formula:
b = 8 or -13 (-13 doesn't work cuz it asks for positive numbers)
so if b = 8, then a = 5+b = 5+8 = 13
