Clifford and Sam each have some game cards. If Clifford gives Sam 48 game cards they both will have an equal number of game cards. If Clifford gives Sam 112 game cards, Clifford will have 1/3 as much as Sam. How many game cards does Clifford have at first?

Answer 1

Let C be the number of game cards Clifford has at first and S be the number of game cards Sam has at first.
First, we know that C - 48 = S + 48 and C + 112 = S/3.
So S = C - 96 and S = 3C - 112.
Thus C - 96 = 3C - 112.
Thus 3C - C = 112 - 96
Thus 2C = 16
Thus C = <<8=8>>8. Answer: \boxed{8}.