Richard's numbers Z8-I-2 2019

Richard was playing with two five-digit numbers. Each consisted of different digits: one number used only odd digits and the other only even digits. After a while, he found that the sum of these two numbers starts with the repeated digit 1 (i.e. begins with 11) and ends with the digit 1, and that their difference starts with the digit 2 and ends with the repeated digit 1 (i.e. ends with 11).
Determine Richard's numbers.

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