Given: Either A and B are of the same age or A is older than B. Either C and D are of the same age or D is older than C. B is older than C.

Analysis: From Statement 1, either A and B are of the same age or A is older than B. From Statement 2, either C and D are of the same age or D is older than C. From Statement 3, we know that B is older than C.

Conclusion: Statement 3 directly tells us that B is older than C. From Statement 1, since A and B are either of the same age or A is older than B, if we assume A is older than B (because B is already older than C), A must be older than C as well.

From Statement 2, if D is older than C, and B is already older than C, we can deduce that A is older than C.