Answer:
23 and 15
Explanation:
Create a system of equations where x is the greater number, and y is the smaller number.
x + y = 38
x = y + 8
Solve by substitution, by substituting the second equation into the first one, then solving for y:
x + y = 38
(y + 8) + y = 38
Add like terms and solve for y:
2y + 8 = 38
2y = 30
y = 15
Add 8 to this, to find the greater number:
15 + 8
= 23
So, the numbers are 23 and 15.