I think you will find that the recommendation is that a new tyre shouldn't be sold once it is older than 6 years at the time of sale, and any tyre shouldn't be used on a car once it is older than 10 years. That said, if a tyre is displaying signs of old age, then it should be replaced regardless.
That's probably country by country. Here, you can't sell a tire if it's 3 years old and the recommendation for replacement is at 6 years.