Explanation
Let's analyze the given statements step by step in simple terms:
- Either A and B are of the same age, or A is older than B.
→ This means A is either equal to or older than B. - Either C and D are of the same age, or D is older than C.
→ This means D is either equal to or older than C. - B is older than C.
→ This clearly states that B is older than C.
Now, let's check the answer options:
A: A is older than B.
- We only know that A is either the same age or older than B, but we cannot be sure A is definitely older. Incorrect.
B: B and D are of the same age.
- There is no information linking the ages of B and D directly. Incorrect.
C: D is older than C.
- From statement 2, we know that either D is the same age as C or older.
- But from statement 3, we know B is older than C.
- Since we have no direct proof that D is older, this is not necessarily true. Incorrect.
D: A is older than C.
- We know B is older than C (Statement 3).
- From Statement 1, A is either equal to or older than B.
- If A is at least as old as B, and B is older than C, then A must also be older than C.
This is correct.
Correct Answer:
D: A is older than C.