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aflati numerele a si b ,stiind ca sunt direct proportionale cu 2 si 3 ,iar a +b=25

Răspuns :

[tex]\{a,b\} d.p. \{2,3\}\Rightarrow \frac{a}{2}=\frac{b}{3}=\frac{a+b}{5}\Rightarrow \frac{a}{2}=\frac{b}{3}=\frac{25}{5}\\ a=\frac{2\cdot 25}{5}=10\\ \\ b=\frac{3\cdot 25}{5}=15[/tex]