There is no actual age limit for car tyres but they are made from organic material and (like all things organic) have a limited lifespan.

Most manufacturers recommend tyres at 10 years, regardless of condition or tread. This is because the rubber polymers weaken over time and the chemicals dry out, which makes the tyre hard and liable to cracking.

The tyres are inspected as part of the annual MoT and service, which will give you a good idea of their condition. If these reports are fine then you may have a year to two of life left in your car's tyres. But I would suggest that you keep an eye on their condition and inspect them regularly for signs of damage.