What was one problem and how did the characters solve this problem?

I don't think that the main idea is ever really solved. Is Margie's life any better for the use of all this technology? Margie's dislike of her education, and her longing for low-tech schools of the past, suggest a critique of the pursuit of scientific advancement without consideration of social and communal life. Technology has made Margie's life lonelier, not better. Ironically this theme is especially relevant today.