AHSME 1975 Problem 25

A woman, her brother, her son and her daughter are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the best player are of opposite sex. The worst player and the best player are the same age. Who is the worst player? $\textbf{(A)}\ \text{the woman} \textbf{(B)}\ \text{her son} \textbf{(C)}\ \text{her brother} \textbf{(D)}\ \text{her daughter}\\ \textbf{(E)}\ \text{No solution is consistent with the given information}$