Newton'sThirdLawofMotion states that for every action force, there is a simultaneous reaction force thats equal in magnitude and opposite in direction.
F1 on 2 = F2 on 1
Action Force - person pushing the skateboard backwards. FBD of skateboard.
Reaction Force - skateboard pushing the person forward. FBD of person.
The forces do notcancel each other out, and they are notadded together.