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UKMT Senior Mathematical Challenge, 2025

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

When $\frac{1}{x} - \frac{1}{y} = 2025$ , what is the value of $\frac{x+2026xy-y}{2y-2025xy-2x}$ ?

(A) $0$ (B) $1$ (C) $\frac{1}{2}$ (D) $2026$ (E) $\frac{1}{2025}$

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