Birthday Multiples
Problem
Joey, Chloe, and their daughter Zoe share a birthday. Joey is one year older than Chloe, and Zoe turns exactly today. Today Chloe's age is an integer multiple of Zoe's age, and this will happen on exactly more birthdays in the future. On the next birthday when Joey's age is an integer multiple of Zoe's age, what is the sum of the digits of Joey's age?
Answer
Solution
| Difficulty | 7/10 |
|---|---|
| Topics | Diophantine Equations, number theory, Counting |
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