We have observed the metal-rich globular clusters NGC 6624 and NGC 6637 (M6
9) using the planetary camera of the WFPC2 on the Hubble Space Telescope (H
ST). Observations of the Ca II triplet lines in giant stars in these cluste
rs show that NGC 6624 and NGC 6537 have metallicities on the Zinn and West
scale of [Fe/H] = -0.63 +/- 0.09 and -0.65 +/- 0.09, only slightly more met
al rich than 47 Tuc [Fe/H] = -0.71 +/- 0.07. For clusters of identical (or
nearly so) metallicity, one can make a direct comparison of the color-magni
tude diagrams to derive the relative ages of the clusters. From the color-m
agnitude diagrams derived from the HST photometry, we find that NGC 6624 an
d NGC 6537 differ in age by less than 0.5 Gyr. Their color-magnitude diagra
ms are also compared with those of 47 Tuc and NGC 6352, and while these lat
ter diagrams are of somewhat lower quality, they are consistent with all of
these clusters having the same ages. Adopting an apparent distance modulus
of 13.40 and reddening E(B - V) = 0.04 for 47 Tuc, the new Yale isochrones
yield an age for the clusters of 14 Gyr.
The positions of NGC 6624 and NCC 6637 in the Galaxy suggest that they belo
ng to the bulge population of globular clusters. The only other bulge clust
ers that have been dated so far are the more metal rich clusters NGC 6528 a
nd NGC 6553, which also appear to be very old. Consequently, the age-metall
icity relation of the bulge may be very steep. The close similarity of the
ages and metallicities of NGC 6624 and NGC 6637 to the thick-disk globular
clusters 47 Tuc and NGC 6352 indicates that the age-metallicity relations o
f these populations intersect. We briefly discuss the possibility that thes
e populations had a common origin.