Răspuns:
75, 10, 15
Explicație pas cu pas:
Fie a, b, c cele trei numere cautate
[tex]a+b+c = 100\\\\a = 3 * (b+c)\\\\c = \frac{1}{5} * a \Rightarrow c=a:5\Rightarrow \boxed{a=5c}\\\\\:inlocuim\: pe\: a\:in\: a \:doua\:relatie\:si\: vom\: avea\:\\\\5c=3*(b+c)\Rightarrow\\\\5c= 3b+3c\\\\2c=3b\Rightarrow \boxed {b=2c:3}\\\\inlocuim\:pe\:a\:si\:b\: in\:prima\:relatie\:si \:astfel\:il\: vom\: afla\: pe\: c\\\\5c+2c:3+c = 100\:\:\:\:\:\:\:\:/*3\\\\15c+2c+3c=300\\\\20c = 300\\\\c=300:20 \\\\\boxed{c=15}\\\\a = 5 * 15\\\\\boxed{a=75}\\\\b= 2*15:3\\\\b= 30:3\\\\\boxed{b=10}[/tex]
Verificare: 75 + 10 + 15 = 100
