Difference between "antworten" and "beantworten"
Ich antworte auf etwas (I reply to something), but Ich beantworte etwas (I answer something).
Ich antworte auf Deinen Brief (I reply to your letter)
Ich beantworte Deine Frage (I answer your question)
In German, both is used equivalently, but you need to make sure to use the correct form (see the auf above).
In retrospect, I noticed that *beantworten* is close to *answer*. I changed my answer accordingly.
It puzzles me the fact that you wrote "Deine" with a capital "D". It is not a Sie-form as you should have used Ihren instead. So why?
@usr128787 Writing "Du, Dich, Dein, etc." or "Sie, Ihre, etc." with capital letters in letters is actually a form of polite salutation. While I think that today you don't need to do this anymore, it used to be a rule. Many people keep doing this even after the spelling reform. The question why I wrote "Du" instead of "Ihren" - well, I assumed this was a personal letter to a person I know. In a business letter you'd of course have used "Ihren".