Question

Aflati doua numere invers proportionale cu 2, 3, 4, stiind ca al treilea numar este 6

Answer 1

[tex]\text{Notam numerele cu a,b si c.}\\ \{a,b,c\} i.p.\{2,3,4\}\Rightarrow \dfrac{a}{\frac{1}{2}}=\dfrac{b}{\frac{1}{3}}=\dfrac{c}{\frac{1}{4}}\\ Dar\ c=6\ si\ daca\ rasturnam\ fractiile\ ne\ da:\\ 2a=3b=24\\ 2a=24\Rightarrow \boxed{a=12}\\ 3b=24\Rightarrow \boxed{b=8}\\ R:Numerele\ sunt\ 12\ si\ 8.[/tex]