If $H_0$ is higher, what does this imply about the estimated age of the universe ($T_0$)?

Answer

The universe must be younger.

The relationship is reciprocal; a faster expansion rate ($H_0$) means that less time was required for the universe to reach its current size from a single starting point.

If $H_0$ is higher, what does this imply about the estimated age of the universe ($T_0$)?
discoveryHubbleuniverse