41. Find two numbers according to the following conditions:

a) their sum is 1244;

b) these numbers will become equal to each other if the digit 3 is appended to the end of the first number, and the digit 2 is removed from the end of the second number.
41. The first number is $x$, the second number is $1244-x$, then according to the problem, we can form the equation $10 x+3=(1244-x-2): 10$. From this, $x=12$. The first number is 12, the second is 1232.