Answer:
| x-13| = 5
Step-by-step explanation:
(We need an absolute value equation with solutions of 8 and 18
| x-y| = z
We get a positive and negative solution
x-y =z x-y = -z
Solve for x
Add y to each side
x-y+y = z+y x-y+y = -z+y
x = z+y x = -z+y
Let the larger one equal 18 and the smaller one equal 8
z+y = 18 and -z+y = 8
Add the two equations together to eliminate z
z+y = 18
-z+y = 8
-------------------
2y = 26
y = 13
Now we need to find z
z+y = 18
z+13 = 18
z = 18-13
z=5
Putting this back into the absolute value equation
| x-13| = 5
