Q&A 1 Timothy: When was 1st and 2nd Timothy Written?

There are some sources that would date 1 Timothy earlier (such as the 50s) and 2nd Timothy later in the life of Paul. One of the difficulties in discussing the dating of 1 and 2 Timothy today is the prevalence of modernist and liberal scholars in the 1800s and 1900s who deny the authenticity of 1 and 2 Timothy as genuine works from Paul.