Translation and Explanation in Sanskrit:

Translation:
- बूढ़ा आदमी धीरे चला? -> कः बुढः पुरुषः विलम्बेन चलति?

Explanation:
- The given sentence "बूढ़ा आदमी धीरे चला?" can be translated into Sanskrit as "कः बुढः पुरुषः विलम्बेन चलति?".

Details:
- बूढ़ा (Boodha): This word means an old man or elderly person.
- आदमी (Aadmi): It refers to a man or a person.
- धीरे (Dheere): This word means slowly or at a slow pace.
- चला (Chala): It denotes walking or moving.

Explanation:
- The sentence is asking whether the old man is walking slowly. In Sanskrit, this question would be phrased as "कः बुढः पुरुषः विलम्बेन चलति?" which translates to "Is the old man walking slowly?".
- Sanskrit is a rich and ancient language with a precise grammar structure. It is known for its clarity and depth in expressing ideas.
- Understanding the meaning of each word in the sentence helps in forming the correct translation in Sanskrit.

Importance of Sanskrit:
- Sanskrit is not just a language, but a key to understanding Indian culture, philosophy, and literature.
- Studying Sanskrit can enhance cognitive abilities, improve memory, and develop a deeper understanding of linguistic nuances.
- It is also the language of many ancient texts like the Vedas, Upanishads, and epics like the Mahabharata and Ramayana.

Conclusion:
- Translating sentences into Sanskrit not only helps in learning the language but also in appreciating the beauty and precision of this ancient language.