Questions & Answers about Такая проблема существует.
Такая means such or this kind of here.
So Такая проблема существует is literally something like:
- Such a problem exists
- This kind of problem exists
It usually points to a type of problem that has just been mentioned or is understood from context.
Because такая has to agree with проблема.
Проблема is:
- feminine
- singular
- nominative
So the matching form of такой is такая.
Compare:
- такой вопрос — such a question (masculine)
- такая проблема — such a problem (feminine)
- такое решение — such a solution/decision (neuter)
- такие проблемы — such problems (plural)