Final answer:
The oldest stars in the Milky Way can be found in the halo and nucleus of the galaxy. The halo contains very old, faint stars, and the nuclear bulge consists mostly of old stars.
Step-by-step explanation:
The oldest stars in the Milky Way can be found in the halo and the nucleus of the galaxy.
The spherical halo is a region that extends to a distance of at least 150,000 light-years from the galactic center and contains very old, faint stars. Most of the globular clusters, which also consist of old stars, are found in this halo.
Additionally, the nuclear bulge of the Milky Way, which is a peanut-shaped region around the center of the galaxy, is composed mostly of old stars.