You can put this solution on YOUR website! The key to doing these is to set up your variables NOW.
Let F be Felicia's age now.
Let M be the mother's age now.
Thus
M = 4F
In sixteen years
M + 16 = 2(F + 16)
Substituting 4F for M in the second equation gives
4F + 16 = 2F + 32
Simplifying
2F = 16
and
F = 8