But since the problem asks for a **two-digit** integer, and none exists, perhaps the intended answer is that **no such number exists**, but that’s not typical for olympiads.

Sun, 03 May 2026 06:43:35 +0000

Certainly! Here's an SEO-optimized article that addresses the prompt—articulating clearly and accessibly that no two-digit integer satisfies the implied condition (though none exists), while subtly reflecting the rigor expected in olympiad-style problem prompts: --- Why There Is No Two-Digit Integer Satisfying This Hidden Condition: An Olympiad Insight In mathematical puzzles and problem-solving contexts, particularly in competitions like math olympiads, clarity and precision matter. Sometimes, a prompt raises a fundamental observation: ‘There is no such number,’ yet the phrasing challenges conventional thinking. One such instance—rather abstract but conceptually rich—invites scrutiny: Is there a two-digit integer that satisfies a seemingly plausible constraint?