According to "the price of TV is 3300 yuan more expensive than that of computer", if the price of computer is X, then the price of TV is (3300+x) yuan.
According to "the price of a computer is exactly four fifths of the price of a TV set", (3300+x) multiplied by four fifths equals X.
Solution: x is equal to 1200.
So the computer price is 1200 yuan, and the TV price is 4,500 yuan.