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2022 IIMC keystage2-EMIC individual Question 10

xIMC · 2022 IIMC keystage2-EMIC individual

Question 10

Let
$$A=\frac{2021^{2022}+2022^{2023}+2023^{2024}}{2021^{2021}+2022^{2022}+2023^{2023}}.$$
What is the largest integer that does not exceed $A$?