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how much is a clove of garlic - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 5Question: What two-digit positive integer is three less than a multiple of $ 7 $, $ 8 $, and $ 9 $?

📌 We are looking for a two-digit integer $ x $ such that $ x + 3 $ is divisible by $ 7 $, $ 8 $, and $ 9 $.

📌 This means $ x + 3 $ is a common multiple of $ 7, 8, $ and $ 9 $.

📌 First, compute the least common multiple (LCM) of $ 7, 8, $ and $ 9 $:

📌 \text{lcm}(7, 8, 9) = \text{lcm}(7, \text{lcm}(8, 9)) = \text{lcm}(7, 72) = 504

📌 So $ x + 3 = 504k $ for some integer $ k $.

📌 We want $ x $ to be a two-digit number, so:

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