End of This Age
Matthew 13:39-40 - What is the end of this age? Remember there are only two ages spoken about at this time in the bible "this age" and "new age" which is The old Covenant age and the The New Covenant Age.
Matthew 24:3 - This is the End of the Age. We see "end of the age" it refers to the old covenant age. The KJV uses the word "world" here instead of "Age". It's the only version that has not corrected this mistake. Other translations have made the correction. Here the Greek word for world (kjv) is aion and aion is described as age. If Jesus wanted us to know the world was coming to an end he would have used the Greek word kosmo as used elsewhere.
The text "end of the age" is not the end of the earth. It's about the end of the Old Covenant Age. The Old Covenant Age ended in AD 70 when the temple was destroyed. See Luke 21:20-24
1 Corinthians 10:11 - The Apostle Paul taught that all of the people in his generation were living at the "end of the age" Paul told Timothy to avoid certain people in the last days. If the last days were generations to come, Timothy would have to be alive today.