Question 115
Find all pairs of positive integers $a$ and $b$ such that
$$
ab = 160 + 90(a, b),
$$
where $(a, b)$ is the greatest common divisor of $a$ and $b$.
$$
ab = 160 + 90(a, b),
$$
where $(a, b)$ is the greatest common divisor of $a$ and $b$.
MathNet 2010 — Part 01 Question 115
Math Olympiad Vault · MathNet 2010 — Part 01