Question

aflati a si b, stiind ca sunt invers proportionale cu 0,5 si 0,(3) iar b-a=8

Answer 1

{a, b} i.p. {0,5;0,(3)} =>
[tex]0,5a = 0,(3)b =\ \textgreater \ \frac{5a}{10} = \frac{3b}{9} =\ \textgreater \ \frac{a}{2} = \frac{b}{3} = k\\ \frac{a}{2} = k =\ \textgreater \ a = 2k \\ \frac{b}{3} = k =\ \textgreater \ b = 3k \\b-a=8=\ \textgreater \ 3k-2k=8=\ \textgreater \ k=8\\=\ \textgreater \ a=2*8=16\\=\ \textgreater \ b=3*8=24[/tex]