Let’s call the first number x and the second number y.

According to the problem, we have two pieces of information:

1) The sum of the two numbers is 49: x + y = 49

2) One of the numbers is 11 more than the other: x = y + 11

To solve this system of equations, we can substitute the value of x from the second equation into the first equation:

(y + 11) + y = 49 2y + 11 = 49 2y = 49 - 11 2y = 38 y = 38/2 y = 19

Now, substitute the value of y back into the second equation to find x:

x = 19 + 11 x = 30

Therefore, the two numbers are 30 and 19.