Question 7
Paul’s three children have birthdays in the same week. He bought a circular birthday cake and divided the cake in proportion to their ages as shown. If none of his children is older than 17, what is the sum of their three ages?

**Interpretation note (AI):** The answer below uses ages in completed whole years. The printed question does not explicitly state this convention; arbitrary fractional ages would make the sum non-unique.
**Source annotation note:** Faint handwritten marks in the supplied image are preserved for fidelity. They are not printed givens or an official answer.

**Interpretation note (AI):** The answer below uses ages in completed whole years. The printed question does not explicitly state this convention; arbitrary fractional ages would make the sum non-unique.
**Source annotation note:** Faint handwritten marks in the supplied image are preserved for fidelity. They are not printed givens or an official answer.