Okay, I'll give it a shot. Painting A was dated 1604 and Painting B was dated 802.
If (in 2005) the first painting is three times older than the second, then:
3*(2005-A)=(2005-B)
And if the numerical value of the date on A is twice that on B, then:
A=2B
So we have an equation for A in terms of B, let’s substitute it into the first equation and solve for B
3*(2005-2*B)=2005-B
=>6015-6B=2005-B
=>4010=5B
=>4010/5=B
=>802=B
And two times 802 is 1604.
And the age of B is 2005-802=1203years which is three times the age of A: 2005-1604=401years
(in 2005)
Good times