1. Physical-world questions, the classic being, "if God is good and omnipotent, why does suffering exist?"
2. Moral-world questions, such as "who is my neighbour?", (and what are my duties towards my neighbour?).
In your phrasing, we'd say that atheism 'serves to answer questions', by answering only: 1. All is randomness, we're here because we're here, etc. 2. None, unless you choose some duty, up to you, etc.
These could hardly involve less thinking (for 1) or subsequent moral effort (for 2), so it's easy to see how 'you can find comfort from following that path'. Perhaps this explains their appeal!