There are 4 persons A,B,C and D of which 2 are liars and 2 are knights. Each of these persons has a lucky and an unlucky number. All the 8 numbers are different and they are from 1 to 9 only. It is known that sum of lucky and unlucky numbers is same for all of these 4 persons and also sum of lucky numbers is greater than sum of unlucky numbers. Find the lucky and unlucky numbers for each of them if they made the following statements:

A:

C's lucky number is 7.

The *missing number* is 5.

B:

C's unlucky number is 4.

D's lucky number is 2.

C:

A is a liar.

B's lucky number is 6.

D:

The product of B's numbers is 24.

The maximum of all our numbers is A's lucky number.

Note: The *missing number* is the number from 1 to 9 which is not any one of these people's lucky or unlucky number.