It makes sense because you already have the truth and it is that life, as well as becoming old, is suffering, and that the only way to get out of here, according to Buddhism, is to follow the teachings of the Buddha. That is the truth in itself, from a Buddhist perspective.

Also, old age can be a good point to practice virtue and improve karma, or be interested in Buddhist reincarnation teachings. As far as I understand, the common people need several lives to reach nirvana.