Let 'x' and 'y' represent the numbers.

The sum of two numbers is 91:

x + y = 91

One of the numbers is 9 more than the other:

y = 9 + x

We have the following system of equations:

x + y = 91

y = 9 + x

........

click here to see the system of equations solved for x and y

........

x = 41

y = 50

The numbers are 41 and 50.