Question

Diferenta a doua numere este cu 24 mai mica decat suma lor Daca se imparte suma la diferenta lor, se btine catul 4. Aflati numerele.
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Answer 1

[tex]\displaystyle (x+y) - (x-y) = 24 \\ \frac{x+y}{x-y}=4 \\ ------------ \\ x+y - x-+y = 24 \\ x+y = 4(x-y) \\ ------------ \\ 2y = 24 \\ 4x-x -4y-y=0 \\ ------------ \\ Din~prima~ecuatie: ~~~~=\ \textgreater \ ~~y = \frac{24}{2}=\boxed{12} \\ Inlocuim~ in~ a~ doua~ ecuatie: \\ 3x-5y=0 \\ 3x-5\cdot 12 =0 ~~~=\ \textgreater \ ~~3x = 60 ~~~=\ \textgreater \ x = \frac{60}{3} =\boxed{20}[/tex]