Agudah spokesman Rabbi Avi Shafran wrote a book on Judaism, Jewthink: A Guide To Real Judaism for the Thinking Individual, Hermon Press, 1977, which is a collection of apologetics meant to defend Judaism from, among other things, the challenges of rational thought and science. A friend send me this PDF of Rabbi Shafran's take on the conflicts between Torah, which posits a world less than 6000 years old, and science, which has proved a much older world, billions of years old.
Rabbi Shafran insists the world is less than 6000 years old, claims science, all of it, is poorly intentioned and incapable of ascertaining the truth, and explains the world was created to look old. This is of course the famous Gosse theory, first advanced by a Protestant theologian in the first half of the 19th century. Gosse's work was adopted by the Lubavitcher Rebbe, and apparently Shafran picked it up from him. Neither the Rebbe or Shafran bothered to attribute the theory to Gosse.
Here is an excerpt from Rabbi Shafran's book:
For a Jewish view (not derived from Christian fundamentalist apologetics) on the age of the universe, read this.