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female weather channel personalities fired - Decision Point

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 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.

📌 Wait — perhaps we made a directional error. Let's suppose the number is **three less than a multiple of each**, but again, same.

📌 Alternatively, suppose the question meant:

📌 "A two-digit number that leaves remainder 3 when divided by 7, 8, and 9" — i.e., $ x \equiv 3 \pmod{7}, x \equiv 3 \pmod{8}, x \equiv 3 \pmod{9} $

📌 Then $ x - 3 $ divisible by 7,8,9 → $ x - 3 = \text{lcm}(7,8,9) \cdot k = 504k $ → only $ x = 507 $ at $ k=1 $, still too big.

📌 Same issue.

📌 But perhaps the intended modulus was smaller. Alternatively, maybe the question is:

📌 "Three less than a multiple of 6, 7, 8" — but not.

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