Question

calcule x e y na proporçao x/y = 2/5 sabendo que x+y = 49

Answer 1

$\frac{x}{y} = \frac{2}{5} \\\\ 5x = 2y \\ y = \frac{5x}{2} \\\\ x + y = 49 \\\\ x + \frac{5x}{2} = 49 \\\\ \frac{7x}{2} = 49 \\\\ 7x = 98 \\\\ x = \frac{98}{7} \\\\ x = 14 \\\\ x + y = 49 \\ 14 + y = 49 \\ y = 49 - 14 \\ y = 35$