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IMAS 2024–2025 — Middle Primary — First Round Question 23

IMAS · IMAS 2024–2025 — Middle Primary — First Round

Question 23

There are three positive integers $a$, $b$ and $c$. If the greatest common divisor of $a$ and $b$ is 20, while the greatest common divisor of $b$ and $c$ is 25, what is the sum of the two smallest possible values of the greatest common divisor of $a$ and $c$?