[tex]\text{Notam numerele cu a,b si c.}\\
\{a,b,c\} i.p.\{2,3,4\}\Rightarrow \dfrac{a}{\frac{1}{2}}=\dfrac{b}{\frac{1}{3}}=\dfrac{c}{\frac{1}{4}}\\
Dar\ c=6\ si\ daca\ rasturnam\ fractiile\ ne\ da:\\
2a=3b=24\\
2a=24\Rightarrow \boxed{a=12}\\
3b=24\Rightarrow \boxed{b=8}\\
R:Numerele\ sunt\ 12\ si\ 8.[/tex]
