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IMC 1999 — Keystage 3 (IWYMIC) — individual Question 9

xIMC · IMC 1999 — Keystage 3 (IWYMIC) — individual

Question 9

Let $x$ be a two-digit number. Denote by $f(x)$ the sum of $x$ and its digits minus the product of its digits. Find the value of $x$ which gives the largest possible value for $f(x)$.