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how to make water purifier - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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5Question: A civil engineer is designing a drainage system using pipes...
Solution: We are looking for the smallest two-digit positive integer $...
L \equiv 1 \pmod{13}
and $ L $ is a multiple of 7 (since pipes are seven units long and tot...
L \equiv 1 \pmod{13} \quad ext{and} \quad L \equiv 0 \pmod{7}
L \equiv 0 \pmod{7} \
Use the Chinese Remainder Theorem. Let $ L = 7k $. Substitute into the...
7k \equiv 1 \pmod{13}
We solve for $ k $: find the modular inverse of 7 modulo 13.
$ 7 \cdot 1 = 7

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