Question

Determinat toate numerele naturale cuprinse intre 50 şi 250 care la impartirea cu 3.8 si 12
de fiecare data, restul l​

Answer 1

x= 3a + 1

x= 8b +1

x= 12c + 1

50 < x < 250

3=3

8= 2^3

12 = 7 + 5

3,8,12 = 24 (c.m.m.m.c)

24 + 1 = 48 + 1, 72 +1, 96+ 1, 120+ 1, 144+ 1, 168+ 1, 192+ 1, 216+ 1, 240+ 1,...

73 : 3 = 24 r 1

73 : 8 = 9 r 1

73 : 12 = 6 r 1

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241 : 3 = 80 r 1

241 : 8 = 30 r 1

241 : 12 = 20 r 1

x = 73, 97, 121, 145, 169, 193, 217, 241