Question 774220
Let the numbers be 'x' and 'y'.
Let 'x' be the larger number.
So x + y = 44 ---------(1)
   x - y = 8  ---------(2)
Adding equations 1 and 2 we get 
   2x = 52
or  x = 26

Putting the value of 'x' in equation 1 we get
   26 + y = 44
or  y = 44 - 26 = 18

Therefore the two numbers are 26 and 18.

check: 26 + 18 = 44
       26 - 18 = 8