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MathNet 1962 — Part 01 Question 1

Math Olympiad Vault · MathNet 1962 — Part 01

Question 1

Given a number with 1998 digits which is divisible by 9. Let $x$ be the sum of its digits, let $y$ be the sum of the digits of $x$, and $z$ the sum of the digits of $y$. Find $z$.