Question 845066
Let x = the first number.
Let x + 8 = the second and larger number.

Next we can write x + (x+8) = 38. 

Now, we just solve for x.


Combine like terms and we get 

2x + 8 = 38.

Subtract 8 from both sides.

2x = 30


Divide each side by two


x = 15.  

x + 8 = 23.

Therefore the first number is 8, and the second number is 23. 


Let's check.

15 + 23 = 38.