what is a question?
Answer: it is a sentence worded or expressed so as to elicit information or a matter requiring resolution or discussion.
what is an Answer?
Answer: it is a thing that is said, written, or done as a reaction to a question, statement, or situation
it is also a solution to a problem or dilemma.
I feel in as much as an answer is given it may not be the answer to the said question, so in order words an answer can be given to a question but it might not mean the correct thing to the said question and as thus a question to further explain the depth to which the answer might make meaning, reason or sense may arise.
so like @QueenethUzochukwu said stories arise. to answer the original question. yes you can answer a question with a question because your answer although being in a questionable form; answers the first question and other questions that may be asked in the stories of questions and answers. hope i didn't confuse you.? please you don't need to answer.......