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Explicație pas cu pas:
Notam cu x suma celor 4 frati
[tex]\it a=\dfrac{3}{8}\cdot x\\ \\ \\ b=\dfrac{2}{9}\cdot x\\ \\ \\ c= \dfrac{1}{6}\cdot x\\\\d=170\\\\\dfrac{3x}{8}+\dfrac{2x}{9}+\dfrac{x}{6}+170=x\\\\\\\dfrac{3*9x+8*2x+12x+12240}{72}=x \\\\\\\dfrac{55x+12240}{72}=x\\\\\\55x+12240=72x\\\\\\72x-55x=12240\\\\\\17x=12240\\\\\\\boxed{\it x=720}\\\\\\a=\dfrac{3}{8}\cdot 720\Rightarrow \boxed{a=270}\\\\\\b=\dfrac{2}{9}\cdot 720 \Rightarrow \boxed{\it b = 160}\\\\\ c= \dfrac{1}{6}\cdot 720 \Rightarrow \boxed{\it c=120}[/tex]
