Here's what we can say:
* Both languages have roots in the ancient Dravidian language family. This family is thought to be one of the oldest language families in the world.
* Kannada is believed to have emerged as a distinct language around the 5th century CE. It is considered one of the oldest surviving Dravidian languages.
* Telugu is believed to have emerged as a distinct language around the 7th or 8th century CE.
While Kannada is considered to be older, both languages have a rich history and literature spanning many centuries.