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Home » \( x = rac-35 \pm \sqrt1225 + 8164 = rac-35 \pm \sqrt20414 \) - go-checkin.com

\( x = rac-35 \pm \sqrt1225 + 8164 = rac-35 \pm \sqrt20414 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 So $ \text{lcm} = 8 \cdot 9 \cdot 7 = 504 $, yes.

📌 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.

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