Given that the titles are the same, I assume the questions are duplicates
There are two scenarios here:
1. You are the author of the original question, which has been closed by moderators.
In this case, asking a duplicate question is unnecessary, as you have two good alternative solutions:
- Delete the original question before asking the new one.
- Edit the original question, then cast a reopen vote or flag for a moderator (smileycreations15's answer).
2. You are not the author of the original question, which has been closed by moderators.
In this case, you are unable to edit or delete the original question, so in order to receive answers, either:
- You downvote the original question and wait for it to be deleted (as suggested by PolyGeo).
- You change the title of your question slightly (as suggested by smileycreations15).
- The functionality of the StackExchange site should change to allow duplicates of closed questions (as you propose).
The first solution requires time, which you may or may not have. The second solution, finding a good but different title for a question, is likely feasible and is unlikely to have detrimental impact on the question, even if the best title is already in use. The third solution would complicate the logic around handling duplicate question. What if the closed question were re-opened? Should that not be allowed, or should duplicate questions be permitted in this case? The approach solves your problem, but creates another.
It is worth noting that it should be an extremely rare occurrence that two independent people wish to ask a duplicate question around the same time, and have chosen an identical title. This, combined with the fact that finding an alternative title is feasible, and that allowing duplicate questions in this scenario complicates the logic of the site and raises other questions, suggests to me that the status quo is better than your suggestion, and that finding an alternative title is a better solution to your problem.