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MathNet 2019-part-08 — 179 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 78

In the Year $0$ of Cambridge there is one squirrel and one rabbit. Both animals multiply in numbers quickly. In particular, if there are $m$ squirrels and $n$ rabbits in Year $k$, then there will be $2 m + 2019$ squirrels and $4 n - 2$ rabbits in Year $k+1$. What is the first year in which there will be strictly more rabbits than squirrels?