It is not a fact that the direction of causality is exactly that.
There is a Scottish long-term study (and many others), which makes it possible to doubt the indicated direction of the relationship of these factors and suggest the opposite or related to a third factor:
The IQ of people with better health is initially higher in youth (on average) and decreases less with old age. Well, because of their health, these people look younger.
That is, not the mind is not the reason for slowing aging,
but rather, on the contrary - better health is a source of less pronounced aging and at the same time higher mind and preservation of cognitive abilities in adulthood.
The fact is that the level of education also depends on cognitive abilities - people who have a predisposition - good cognitive abilities in childhood go to universities.
In addition, with the level of education, the average income also grows, which means that the measures available to a person to maintain health.
In general, if you take the twins, all living conditions for them are strictly the same, except for the level of education and erudition, it is likely that there will be no difference.
Aging in this case really slows down. And in some cases it stops and turns back.
The case with Albert Einstein is indicative: the scientist began to grow younger so rapidly that he had to bury the old man in a child's coffin.