Question

Am un exercițiu care nu știu sa îl fac ma ajuta cineva va rog?

Answer 1

$\it 0,25=\dfrac{\ 25^{(25}}{100}=\dfrac{1}{4};\ \ \ 0,2=\dfrac{\ 2^{(2}}{10}=\dfrac{1}{5}\\ \\ \\ \{a,\ b\}\ i.\ p.\ \left\{\dfrac{1}{4},\ \ \dfrac{1}{5}\right\} \Rightarrow \{a,\ b\}\ d.\ p.\ \{4,\ 5\} \Rightarrow \dfrac{a}{4}=\dfrac{b}{5}=k\Rightarrow\\ \\ \\ \Rightarrow \begin{cases}\it a=4k \\ \\ \it b=5k \end{cases}\ \ \ \ (1)$

$\it 3a+2b-6=60|_{+6} \Rightarrow 3a+2b=66 \stackrel{(1)}{\Longrightarrow} 3\cdot4k+2\cdot5k=66 \Rightarrow\\ \\ \Rightarrow 12k+10k=66 \Rightarrow 22k=66|_{:22} \Rightarrow k=3\ \ \ \ (2)\\ \\ (1),\ (2) \Rightarrow\begin{cases}\it a=4\cdot3=12\\ \\\it b=5\cdot3=15 \end{cases}$