Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
It is known that $x$ and $y$ are both integers. Given that $100x+y=2xy$, find the smallest possible sum of $x$ and $y$.
Domain note: the source says integers, not positive integers. Use all integers, including zero and negative integers. Its answer key uses a different implicit domain; the solution explains the discrepancy.
It is known that $x$ and $y$ are both integers. Given that $100x+y=2xy$, find the smallest possible sum of $x$ and $y$.
Domain note: the source says integers, not positive integers. Use all integers, including zero and negative integers. Its answer key uses a different implicit domain; the solution explains the discrepancy.