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Fie n numar natural. Scrieti numarul 18n+27 ca suma de 6 numere naturale consecutive.

Răspuns :

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 18n + 27 <=>

6x + 15 = 18n + 27 <=>
6x = 18n + 12 | :6
x= 3n + 2

3n+2+(3n+2+1)+(3n+2+2)+(3n+2+3)+(3n+2+4)+(3n+2+5) = 18n + 27