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La razon geomtrica de dos numeros vale 0, 33333?

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.

En resumen

<img src="https://tex.z-dn.net/?f=%20sean~los~numeros%3A%5Cleft%20%5C%7B%20%7B%7By%7D%20%5Catop%20%7Bx%7D%7D%20%5Cright.

Mejor respuesta

Valeria218
7

<img src="https://tex.z-dn.net/?f=%20sean~los~numeros%3A%5Cleft%20%5C%7B%20%7B%7By%7D%20%5Catop%20%7Bx%7D%7D%20%5Cright.%5C%5C%20%5C%5Crazon~geometrico--%3E%5Cfrac%7Bx%7D%7By%7D%3D0%2C333%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%20%5Cboxed%7Bx%3D%5Cfrac%7By%7D%7B3%7D%7D---%3E%28I%29%5C%5C%5C%5CRazon~arimetico---%3E%7B%5Cboxed%7By-x%3D32%7D---%3E%28II%29%20%5C%5C%5C%5C%20%20%20%20%20%20%20%20%20" /> \ frac{x}{y} = 0, 333 = \ frac{1}{3} \ \ \ \ \ boxed{x = \ frac{y}{3}} - - - >(I) \ \ \ \ Razon~arimetico - - - >{ \ boxed{y - x = 32} - - - >(II) \ \ \ \ " alt = " 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) \ \ \ \ " align = "absmiddle" class = "latex - formula">

<img src="https://tex.z-dn.net/?f=%20%28I%29~em~%28II%29%5C%5C%5C%5Cy-%5Cfrac%7By%7D%7B3%7D%3D32%5C%5C%5C%5C%20%5Cboxed%7B%5Cboxed%7By%3D48%7D%7D~--%3Emayor%5C%5C%5C%5Cahora~%27%27y%27%27~en~%28II%29%5C%5C%5C%5Cy-x%3D32%3D%3D%3E48-x%3D32%3D%3E%5Cboxed%7B%5Cboxed%7Bx%3D16%7D%7D~--%3Emenor%5C%5C%20%20" />mayor \ \ \ \ ahora~''y''~en~(II) \ \ \ \ y - x = 32 = = >48 - x = 32 = > \ boxed{ \ boxed{x = 16}}~ - - >menor \ \ " alt = " (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 \ \ " align = "absmiddle" class = "latex - formula">.