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æ¹ç¨åä¸ºï¼\(3^2x = 3^4\) - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 But 504 is large. So no two-digit number satisfies $ x \equiv -3 \pmod{504} $.

📌 Thus, **no solution**.

📌 But for olympiad creativity, perhaps the intended setup was:

📌 Find a two-digit number such that it is **three less than a multiple of 7**, **three less than a multiple of 8**, and **three less than a multiple of 9** — same as before.

📌 Alternatively, maybe the question meant:

📌 What two-digit positive integer is three less than a multiple of 7, and also three less than a multiple of 11?** But not.

📌 Perhaps the number is such that $ x \equiv -3 \pmod{7} $, $ x \equiv -3 \pmod{8} $, $ x \equiv -3 \pmod{9} $, same.

📌 But let’s suppose the intended LCM was smaller. Suppose the question meant:

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