If you count the years from Adam to Jesus it a little more then 4000 years. Then add 2000 from Jesus to 2007, and you have total 6000 and a few years.
There is two problems with this: 1. Jewish geneaolgy count those who has contributed, and is worth mentioning. Therefor the years between Jesus and Adam is not quite reliable. 2. The Bible does not say how long Adam and Eve lived in the garden of Eden. 3. Between verse 1 and verse 2 in Genesis chapter 1, there could be a enormus time gap.
In terms of the original meaning of the original Hebrew, scholars acknowledge that the days of Genesis 1 can only of 24 hours duration. This is simply because the Hebrew word yom is qualified by the word evening and morning. There is also no justification in the Hebrew for inserting a gap between Genesis 1 and 2 to accomodate the millions of years required for the evolutionary theory.
Thus, the age of around 6000 years is about it as far as the Bible itself goes.