Question

Produsul a doua numere rationale pozitive este 80 .
Aflati numerele , stiind ca 60% din primul numar reprezinta 70% din al II-lea numar .

Answer 1

 [tex]a\;\cdot\;b\;=\;80\\ \frac{60}{100}\cdot{a}\;=\;\frac{70}{100}\cdot{b}\\\Rightarrow\;\frac{a}{b}={\frac{7\not0}{1\not0\not0}\cdot\frac{1\not0\not0}{6\not0}\\ \\\Rightarrow\;\frac{a}{7}=\frac{b}{6}=k\\ \Rightarrow\;a=7k\;si\;b=6k\;;\;\\ \\ k=\sqrt{80/42}\approx1,4\;;\;\\ a=7\cdot1,4\approx10\;si\;b\approx8 [/tex]