Mathematics began making sense under Bilbo’s tutelage. Columns of figures in Bag End and the family’s ledgers indicated that both smial and the Baggins clan were equally solvent and prospering—financially, at least. Children were being born at a normal rate, but----
“I’m concerned, Uncle. With the death of those two little lads in Overhill, that leaves no male children to carry on the name in that branch of the family.”
Bilbo’s eyes were filled with equal concern. “It would appear that the Bagginses, as is true of the Sackvilles, are a dying breed. It does happen.”
Frodo sighed.