Number theory · Divisibility · Divisors · Integer fractions
Problem 2, 2023
Find all integers \(n\) for which the number
\[ \frac{9n+8}{n+7} \]
is also an integer.
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2023, 1. letnik, category A, problem 2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source