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Aflati doua numere naturale a,b stiind ca a/2=3/b. Va roog..am nevoie urgent.

Răspuns :

[tex] \frac{a}{2} = \frac{3}{b} =\ \textgreater \ ab = 6[/tex] (se inmultesc pe diagonala)

Acum cautam numerele:

Daca a = 1 => b = 6
Daca a = 2 => b = 3
Daca a = 3 => b = 2
Daca a = 4 => b nu e natural
Daca a = 5 => b nu e natural
Daca a = 6 => b = 1

=> (a,b)∈{(1,6),(2,3),(3,2),(6,1)}