  The apparent cosmological conflict between the age of the Universe, predicted
in the standard Friedman cosmology by using the recent measurement of the
larger Hubble constant from a direct calibration of the distance to the Virgo
galaxy cluster, and the ages of the oldest stars and globular clusters is
resolved by invoking the scale dependence of cosmological quantities, including
the age of the Universe. The distance dependence or the running of cosmological
quantities is motivated by the asymptotically-free higher- derivative quantum
gravity. The running can also be derived by ``properly" modifying the Friedman
equations. This property can also provide partial explanation of the apparent
disagreement between the two recent measurements of the Hubble constant using
NGC 4571 at 15 Mpc and NGC 5253 at 4 Mpc.
