You should never ask to ask for a question. And you shouldn't announce your question.
Just ask.
Just ask.
The socially correct response is either something like "fine", or to repeat the question. Note that if you're going to answer it as a question, the correct answer is always "fine" regardless of whether one really is fine; if you said something like "terrible" you'd be obliging a stranger to pry into your personal business. The fabric of society is very complex, as someone once said.
These are all valid in various dialects/registers of native English:
Greeting: How are you?
Response: Fine, thank you
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Greeting: How are you?
Response: How are you?
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Greeting: How do you do
Response: How do you do
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Greeting: Sup
Response: Sup