Question

media aritmetica a doua numere rationale este 150 as se afle numerele stiind ca aunt inverse proportionale cu numerele 4 si 5

Answer 1

[tex]\frac{a+b}{2}=150\\ a+b=300\\ 4a=5b\\ \frac{a}{5}=\frac{b}{4}=k\\ a=5k\\ b=4k\\ a+b=9k=300\\ k=\frac{100}{3}\\ a=\frac{500}{3}\\ b=\frac{400}{3}[/tex]