Question

aflati doua numere naturale,stiind ca suma lor este egala cu 30 si ca sint direct proportionale cu numerele 2 si 3

Answer 1

[tex]\{a,b\}d.p. \{2,3\}\Rightarrow \frac{a}{2}=\frac{b}[3}=k\Rightarrow a=2k,b=3k\\ a+b=30\\ 2k+3k=30\\ 5k=30\\ \boxed{k=6}\\ a=2k\Rightarrow \boxed{a=12}\\ b=3k\Rightarrow \boxed{b=18}[/tex]