Difference between Problem, Trouble & Issue

source: Learn English with Let's Talk   2014年6月22日
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--The word "problem" is connected with the word "solution". A problem is something negative that needs to be solved. Some bad things that happen can't be called "problems" because they're unsolvable. For example, if you broke your leg, you probably wouldn't call your broken leg a "problem". The broken leg can't be fixed. On the other hand, figuring out how to get to work with a broken leg is a problem.
--"Trouble" is less connected to solutions. It's more connected to negative feelings that you get when bad things happen.
--"Issue" is associated with difficult decisions and disagreements. We use "issue" in a similar way to "problem" or "trouble", but it also has another meaning. It can mean a topic that people are talking about or disagreeing on. Social issues and political issues are examples of this kind of "issue".