"need of an answer" is correct and usable in written English.
You can use it when you want to express that something requires a response or solution. For example: "The need of an answer to our complex problem was becoming increasingly urgent."
Locked in that motel room, quaffing down quarts of vodka, we have no need of an answer as to why he's there.
Questions in need of an answer are, for example, how to detect low control beliefs, at what age should monitoring start, do gender and childhood diseases matter, how do low control beliefs relate to self-esteem, insecurity and emotional instability (particularly during puberty), and which interventions are available.
They are on the rise because of society's need for an answer to problems, but the only thing they achieve is to deepen and create a more segregated and unfair humanity.
Whatever your need for an answer, a lot of people like to help others and by asking them, you've just made it easy for them.
This is a start, but we need more of an answer.
So the question of why it's taken Twitter so very long to figure out that enabling abuse also really sucks as a business strategy is still in need of a definitive answer.
Set in 1909 in rural Montana, this evocative novel records, in measured bursts of illumination, what happens when Oliver Milliron, the widowed father of three boys and in need of a housekeeper, answers an ad placed by Rose Llewellyn, a charmer whose claim "Can't Cook But Doesn't Bite" proves true.
Often times when we let go of needing an answer, we find exactly what we are looking for.
It was one of those questions that did not need an answer, and Jackson, of course, did not wait for one.
We just need an answer to eliminate some of the uncertainty.
I am in need of some answers".
