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Home » First Game Video: The Craziest First Impression That Changed Everything! - Treasure Valley Movers

First Game Video: The Craziest First Impression That Changed Everything! - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 We seek the smallest two-digit number \( k \) such that:

📌 \( k \equiv 2 \pmod{7} \),

📌 \( k \) is divisible by the sum of its digits.

📌 Let \( k = 10a + b \), where \( a \in \{1,2,\dots,9\} \), \( b \in \{0,1,\dots,9\} \), so sum of digits is \( a + b \).

📌 We check two-digit numbers \( k \equiv 2 \pmod{7} \): they are:

📌 k = 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86, 93

📌 Now test each for divisibility by digit sum:

📌 \( k = 16 \): digit sum = \( 1+6 = 7 \), \( 16 \div 7 \approx 2.28 \), not divisible.

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