Clever riddle playing on the word "time" as a pun.

This is a classic riddle that plays on the interpretation of the given information. Let's break it down step by step:

Problem Statement:

- A man gave one son 10 cents.
- Another son was given 15 cents.
- The question asks, "What time is it?"

Solution:

The key to solving this riddle lies in interpreting the numbers (10 and 15) as clock positions rather than just numerical values. Here's how:

1. Clock Positions:
- On a clock, each hour is represented by a number from 1 to 12.
- The numbers 10 and 15 can be interpreted as positions on a clock face.

2. Interpretation:
- If one son received 10 cents, this corresponds to the 10 o'clock position on a clock.
- If another son received 15 cents, this corresponds to the 3 o'clock position on a clock (since 15 minutes past the hour is equivalent to the 3 o'clock position).

3. Combining the Times:
- The two times mentioned are 10:00 and 3:00.
- However, the riddle is asking for a single time, which suggests combining these into a single meaningful time.

4. Logical Conclusion:
- The most logical way to combine 10 and 3 is to interpret them as 10:15 (10 hours and 15 minutes).
- Therefore, the time is 10:15.

Final Answer:

$$
\boxed{10:15}
$$

This riddle relies on creative thinking and the ability to interpret numerical values in a non-literal context, such as clock positions.