In the question, we are asked to order the men P, Q, R, and S in descending order of their ages and wealth. The conditions given are that P is the oldest but not the poorest, R is the richest but not the oldest, Q is older than S but not P or R, and P is richer than Q but not S.

From these conditions, we can deduce the following:

1. P is the oldest among all, so P will be first in terms of age.

2. R is the richest, so R will be first in terms of wealth.

3. As Q is older than S, but not P or R, he is younger than P, and older than S. The age order so far becomes P > Q > S.

4. R is not the oldest, so R comes somewhere after P. As it`s not specified if R is older or younger than Q, we take the former since it brings us to a valid conclusion. The final age order is P > R > Q > S.

5. P is richer than Q but not S. Thus, S comes after R in terms of wealth. The remaining two positions are of P and Q, since P is richer, he comes before. The final wealth