Solution:
abcde - abcd = 33333
(a ×10000 + b × 1000 + c × 100 + d × 10 + e) - (a ×1000 + b × 100 + c × 10 + d) = 33333
a 9000 + b × 900 + c × 90 + e - e = 33333
a × 9000 + b ×900 + c × 90 = 33333

Given that 33333 is divisible by 9, the sum of the digits on the left side must also be divisible by 9. The only combinations of (a), (b), and (c) that satisfy this condition are:
a = 3, b = 7, c = 1
3 ×9000 + 7 × 900 + 1 × 90 = 33333
27000 + 6300 + 90 = 33333
33333 = 33333

So, the 4-digit number is 3710 and the 5-digit number is 37109.