[tex]a-b=238 \\ a = b\times5+ \frac{1}{4}\times b \Rightarrow a = 5b+ \frac{b}{4} \Rightarrow a = \frac{20b+b}{4} \Rightarrow a = \frac{21b}{4} \\ \\ \frac{21b}{4}-b = 238 \Rightarrow 21b-4b = 952 \Rightarrow 17b = 952 \Rightarrow \\ \Rightarrow b = \frac{952}{17} \Rightarrow b = 56 \\ \\ a-56 = 238 \Rightarrow a = 238 + 56 \Rightarrow a = 294[/tex]
Deci numerele sunt: 294 si 56.
