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Home » But in context, perhaps the problem has a typo, but we proceed. - American Beagle Club

But in context, perhaps the problem has a typo, but we proceed. - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 So $ k = 5m + 1 $, and $ x = 7(5m + 1) + 1 = 35m + 8 $.

📌 We now find a two-digit value of $ x $:

📌 35m + 8 \geq 10 \Rightarrow m \geq 0, \quad 35m + 8 \leq 99 \Rightarrow m \leq 2

📌 Try $ m = 0 $: $ x = 8 $ (not two-digit)

📌 Try $ m = 1 $: $ x = 43 $

📌 Try $ m = 2 $: $ x = 78 $

📌 Both 43 and 78 are two-digit numbers satisfying the conditions.

📌 Thus, the possible answers are $ \boxed{43} $ and $ \boxed{78} $.

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