Question

la suma de 2 numeros es 693 y su razon geometrica es 2/9. halla el numero menor

Answer 1

$\left \{ {{x+y=693} \atop { \frac{x}{y}= \frac{2}{9} }} \right. \\ \\ x+y=693 \\ x=-y+693 \\ \\ \frac{x}{y}= \frac{2}{9} \\ \\ \frac{-y+693}{y}= \frac{2}{9} \\ \\ (9)(-y+693)=(2)(y) \\ \\ -9y+6,237=2y \\ \\ -9y-2y=-6,237 \\ \\ -11y=-6,237 \\ \\ y= \frac{-6,237}{-11} \\ \\ y=567 \\ \\ \\ x+y=693 \\ x+567=693 \\ x=693-567 \\ x=126 \\ \\ X,Y=(126,567) \\ \\ \\ \\ SALUDOS!!$