I am looking for a word that describe the kind of behavior someone exhibits when trying to guide another person to an answer without giving the answer away directly, as in the following, a conversation between a speaker and some other person as the speaker inquires why water droplets form on a glass above a candle flame.
"Why are there water droplets forming on the glass?" I asked.
"What are the products of combustion?" She asked ____.
"Water and carbon dioxide? I see, the droplets are from the water produced by the candle flame."
An adverb is needed for the blank.