Question 25
Alice, Emily, and Maria share the same birthday. Alice is exactly $1$ year older than Emily. Emily is $d$ years older than Maria, where $d$ is a positive integer less than $100$. Today Maria turns $1$. There are exactly $9$ positive integers $t$ for which Emily's age is a multiple of Maria's age on Maria's $t$ th birthday. On the next shared birthday when Alice's age is a multiple of Maria's age, what is the sum of the digits of Alice's age?