Question

Raportul a doua numere este 3\4 .Stiind ca daca din primul numar se scade 6 si la al doilea se aduna 4 se obtine raportul 1/2 .Sa se afle numerele .

Answer 1

[tex]\frac{a}{b}=\frac{3}{4}\Rightarrow a=\frac{3b}{4}\\ \frac{a-6}{b+4}=\frac{1}{2}\\ 2(a-6)=b+4\\ 2(\frac{3b}{4}-6)=b+4\\ \frac{3b}{2}-12=b+4\\ \frac{3b}{2}-b=16|\cdot 2\\ 3b-2b=32\\ \boxed{\boxed{\boxed{b=32}}}\\ \\ a=\frac{3b}{4}\\ a=\frac{3\cdot 32}{4}\\ \boxed{\bxoed{\boxed{\boxed{a=24}}}}[/tex]