x - numarul
[tex] \frac{1}{3} *x+ \frac{1}{2} *x=100 \\ \\ \frac{1}{3} x+ \frac{1}{2} x=100
\\ \\ Amplificam \text{ } prima \text{ } fractie \text{ } cu \text{ } 2 \text{ } si \text{ } a \text{ } doua \text{ } fractie \text{ } cu \text{ } 3 \\ \\ \frac{2x+3x}{6} =100 \\ \\ \frac{5x}{6} = 6)_\frac{100}{1} /:6 \\ \\ 5x=600 \to x= \frac{600}{5} \to x=120[/tex]
