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Va rogggg!!! E simpla rau dar nu o stiu!!! Determinati cel mai mic nr de 4 cifre care impartit la 5,6,7 da resturile 2,3,4.

Răspuns :

a : 5 = x rest 2 => a = 5x+2 |+3
a : 6 = y rest 3 => a = 6y+3 |+3
a : 7 = z rest 4 => a = 7z+4 |+3

=> a + 3 = 5 (x+1)
=> a + 3 = 6(y+1)
=> a + 3 = 7(z+1)

a + 3 = c.m.m.m.c [5;6;7] = 210
a = 210 - 3 = 207 (numarul cautat)

Verificare:
207 : 5 = 41 rest 2
207 : 6 = 34 rest 3
207 : 7 = 29 rest 4