A century has 100 years, and if Gideon has as many marbles as the number of years in a century, he has 100 marbles.
If he gives 3/4 of the marbles to his sister, he gives out 3/4*100 = <<3/4*100=75>>75 marbles.
Gideon's total number of marbles remaining after giving 3/4 of the marbles to his sister is 100-75=<<100-75=25>>25.
When he multiplies the number of remaining marbles by 2, he gets his age five years from now, meaning he will be 25*2=<<25*2=50>>50 years old five years from now.
Currently, Gideon is 50-5 = <<50-5=45>>45 years old.
#### 45