My father is a teacher of mathematics

1. – My father is a teacher of mathematics 2. – Papi: how old are you? 3. – Good, Trooper, in 5 years I will be 4 times bigger than you and I will have 3 times more years than that you will have in 6 years. 4. – My father is a teacher of mathematics a cocoon.
Thanks to @Irreductible, I have come to this brilliant vignette which original you can find in Quiet Glen Mind Police. But skylight, since this is a mathematics blog, his is to find out the ages of the father and of the son, in whose case you will take an unpleasant surprise.
For it, the author of the vignette has done the second version, more according to the reality, in which the problem of the ages changes (translation of the change, further down). 
3. – Good, Trooper, in 3 years I will be 4 times bigger than what you will be in 2 years, and I will have 5 times more years than that you have right now.
Will you be able to calculate the ages of father – cocoon and son, with this new information?