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solve the system of the congruences using Chinese Remainder. x≡2 (mod 11) x≡8 (mod 13) x≡5...

solve the system of the congruences using Chinese Remainder.

x≡2 (mod 11)

x≡8 (mod 13)

x≡5 (mod 16)

Math   Advanced-Math   
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Answer #1

here we want to find an x such that it satusfy all congruences givens.since modulis 11,13,16 are relatively prime in pairs we can apply chinese remainder theorem.

Ans) x=1685+2288k where k is an integer.

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