Consider the following statements:
1. Either A and B are of the same age or A is older than B
2. Either C and D are of the same age or D is older than C
3. B is older than C
Which of the following conclusions can be drawn from the above statements ?

The correct option is A is older than C.

Let us analyze the given statements step-by-step using mathematical inequalities representing the ages of A, B, C, and D:

Statement 1: "Either A and B are of the same age or A is older than B"
This statement can be written as:
$$A\ge B$$

Statement 2: "Either C and D are of the same age or D is older than C"
This statement can be written as:
$$D\ge C$$

Statement 3: "B is older than C"
This statement can be written as:
$$B>C$$

Now, let us combine the inequalities from Statement 1 and Statement 3:
We have $A\ge B$ and $B>C$.
Combining these gives:
$$A\ge B>C$$

From the combined relation $A\ge B>C$, we can strictly conclude that:
$$A>C$$
This mathematically translates to: "A is older than C".

Therefore, the conclusion that "A is older than C" is logically drawn from the given statements.