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Find all numbers  for which the system of congruences

x = r (mod 6)

x = 13 (mod 20)

x = 38 (mod 45)
has a solution.

 Dec 1, 2020
 #1
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r = 5

 

 x mod 6 = 5
x mod 20 = 13
x mod 45 = 38 

 

x = 180c + 173, where c=0, 1, 2,3..........etc.

 Dec 1, 2020

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