The verb "answer to" means be subordinate to, or have to explain yourself to, a person; you can't "answer to" a question, you answer to your boss, for example. Often as a threat, "He'd better not such-and-such or he'll answer to me!"
Just to clarify: the only thing wrong with AntsLuuk's translation is the word "to", since "answer" takes a direct object not an indirect object (in this sense of the word).
"Did he answer your question?" is perfectly correct.
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