That could indeed be a problem (so in this context, something to put into the novel as part of the world-building), depending on how fast the eugenics programme had effect. 60 year old grandparents outstripped by their 10 year old grand children, and not just by the latter growing up with stuff that's still a novelty to their elders. Individual prodigies, people can handle, but when every child is noticeably smarter than their gramps there's going to be some social friction.