When the apprentice was 2 years old, the master was x years old.

They are x-2 years apart, so

The owner is x+(x-2)=2x-2 years old, and

When the master is 4 1 year old, the apprentice is 4 1-(x-2)=43-x years old.

So:

2x-2 = 43 x

3x=45

X= 15 years old apprentice.

2* 15-2=28 years old, master.

A: The age of the master and the apprentice are 28 years old and 15 years old respectively.