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AMC10 2027 - Self-practice Set 1 Question 25

AMC10 · AMC10 2027 - Self-practice Set 1

Question 25

A positive integer $n$ satisfies $(n+1)!+(n+2)!=440n!$. What is the sum of the digits of $n$?
  1. $2$
  2. $5$
  3. $10$
  4. $12$
  5. $15$