If the universe is 13.8 billion years old, how can a star be more than 14 billion years old?
First of all, the Universe has to be older than the oldest stars in it.
The age of the universe is determined by its expansion rate.
The Hubble constant is the ratio of the radial velocity of a distant galaxy to its distance.

The radial velocity is easy to measure, but the distances are not.

As a result, there is now an 11% error in the Hubble constant's value as determined by Hubble space telescopes.

The discovery of a rapid expansion of the universe has led to a rise in the universe's estimated age. The most accurate estimate at this time is 13.74 +/- 0.11 billion years based on a flat universe fit to 9 years of WMAP data, or 13.750 +/- 0.088 billion years based on a fit to WMAP+BAO+H0 data.

The brightness of the oldest stars, which is dependent on their distance, must be known in order to calculate their age. Due to the difficulties in calculating distances, this results in a 10% uncertainty in the ages of the oldest stars.

As a result, there was never a significant difference between the ages of the oldest things in the universe and the age inferred from the expansion rate, which was always within the margin of error.


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