Răspuns :

Răspuns:

1.4a2b apartine {4020,4320,4620,4920,4125,4425,4725}

2.x36y apartine                     {3360,6360,9360,1362,4362,7362,2364,5364,8364,3366,6366,9366,1368,4368,7368}

3.x12y apartine {6120,2124,7128}

Explicație pas cu pas:

1.

15 l 4a2b => 3 l 4a2b => 3 l 4+2+a+b => 3 l a+b

5 l b => b apartite {0,5}

  • b=0 =>3 l a=> a apartine {0,3,6,9} =>4a2b apartine {4020,4320,4620,4920}
  • b=5 =>3 l a+2 => a apartine {1,4,7} =>4a2b apartine (4125,4425,4725}

2.

6| x36y =>y apartine {0,2,4,6,8} }=>

3| x+y                                           }

x36y apartine                     {3360,6360,9360,1362,4362,7362,2364,5364,8364,3366,6366,9366,1368,4368,7368}

3.

36 | x12y => 9|x+y+3     }=> x+y+3 apartine {9,18}=>x+y apartine {6,15}

                   x+y+3<=21 }                    

36 | x12y => 4|2y => 4|y

  • y=0

      =>x apartine {6,15} => x=6 =>x12y=6120

  • y=4

     =>x apartine {2,11} => x=2 => x12y =2124

  • y=8

     =>x apartine {-2,7} => x=7 => x12y =7128

=>x12y apartine {6120,2124,7128}

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