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Find all numbers r for which the system of congruences

x = r (mod 6)

x = 3 (mod 20)

x = 13 (mod 45)

has a solution.

 Nov 28, 2020
 #1
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0

r = 1

 

x = 1 (mod 6)

x = 3 (mod 20)

x = 13 (mod 45)

 

x =180c  +  103, where c ==0, 1, 2, 3...........etc.

 Nov 28, 2020

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