Question

Raportul a doua numere este 8 supra 3 iar diferenta lor este 350.Gasiti cele doua numere.Ajutor va rog!

Answer 1

Fie a, b cele două numere.

[tex]\it a-b = 350 \ \ \ \ (*) \\ \\ \dfrac{a}{b} = \dfrac{8}{3} \Rightarrow \dfrac{a}{8} = \dfrac{b}{3} = \dfrac{a-b}{8-3} \ \stackrel{(*)}{=} \ \dfrac{350}{5} =70[/tex]


[tex]\it \dfrac{a}{8} = 70 \Rightarrow a= 70\cdot8 = 560 \\ \\ \\ \dfrac{b}{3} = 70 \Rightarrow a= 70\cdot3 = 210[/tex]

Answer 2

[tex] \frac{a}{b} = \frac{8}{3} =\ \textgreater \ 3a=8b \\ \\ a-b=350/*3=\ \textgreater \ 3a-3b=1050 \\ \\ 8b-3b=1050=\ \textgreater \ 5b=1050=\ \textgreater \ b=1050:5=\ \textgreater \ b=210 \\ \\ a=350+210=\ \textgreater \ a=560 \\ \\ [/tex]