済む

In a sentence

• 問題が簡単だったので、早く済みました。

  Since the problem was simple, I finished it quickly.

  Here, 済む is used to mean 'being completed' or 'to be finished'.

• この方法を使えば、手間が少なく済む。

  If you use this method, you can complete it with less effort.

  Here, 済む is used to indicate 'to manage with something' or 'to be resolved with less (effort).'

• 彼に謝れば問題が済むと思った。

  I thought that apologizing to him would resolve the issue.

  Here, 済む implies 'to be resolved' or 'to be settled.'