The Hubble Constant and the Age of the Universe
If you plot the scale of the Universe vs time, the Hubble constant is the slope of the line now. If it’s really constant, then the age of the Universe is just 1/H [since H=v/D=(d/t)/d]. That’s because if you know how fast we are expanding, you can run the movie backwards and see when everything crunches together.
If the Universe is slowing its expansion, you get a younger age.
You can compare the age gotten this way with the oldest globular cluster, or other independent methods. Recently they have all come into agreement.