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Home » Thus, \( x-y = \frac4513 \). - RoadRUNNER Motorcycle Touring & Travel Magazine

Thus, \( x-y = \frac4513 \). - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 So \( b = 7c + 3 \), then:

📌 N = 20(7c + 3) + 7 = 140c + 60 + 7 = 140c + 67

📌 Smallest positive \( N \) when \( c = 0 \): \( N = 67 \)

📌 Check all conditions:

📌 \( 67 \div 4 = 16 \times 4 = 64 \), remainder 3 → ✓

📌 \( 67 \div 5 = 13 \times 5 = 65 \), remainder 2 → ✓

📌 \( 67 \div 7 = 9 \times 7 = 63 \), remainder 4 → ✓

📌 Thus, the smallest such \( N \) is:

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