Three friends, Olivia, Noah, and Sophia, compared their ages.
Olivia: "Interestingly, all our ages are 2-digit prime numbers."
Noah: "The sum of Olivia's age and mine is today's date."
Sophia: "That's odd. The sum of Olivia's age and mine is the day of Noah's birthday, which was earlier this month."
Olivia: "And the sum of Noah's age and Sophia's age is the day of Sophia's birthday, which is later this month."
What is Sophia's age?