Question

la razon geomtrica de dos numeros vale 0,33333... y su razon aritmetica es 32. hallar el menor . a)48 b)36 c)58 d)84 e)63

Answer 1

$sean~los~numeros:\left \{ {{y} \atop {x}} \right.\\ \\razon~geometrico-->\frac{x}{y}=0,333=\frac{1}{3}\\\\ \boxed{x=\frac{y}{3}}--->(I)\\\\Razon~arimetico--->{\boxed{y-x=32}--->(II)$

$(I)~em~(II)\\\\y-\frac{y}{3}=32\\\\ \boxed{\boxed{y=48}}~-->mayor\\\\ahora~''y''~en~(II)\\\\y-x=32==>48-x=32=>\boxed{\boxed{x=16}}~-->menor$