Question

Determinați numerele x, y, z știind ca x + y + z =27,x/3=y/4 și y/6=z/3

Answer 1

$\frac{x}{3}=\frac{y}{4}\Rightarrow4x=3y$
$\frac{y}{6}=\frac{z}{3}\Rightarrow3y=6z$
$4x=3y=6z$
$y=\frac{4x}{3};~z=\frac{4x}{6}=\frac{2x}{3}$
$x+y+z=27$
$x+\frac{4x}{3}+\frac{2x}{3}=27$
$\frac{3x}{3}+\frac{4x}{3}+\frac{2x}{3}=27$
$\frac{9x}{3}=27$
$3x=27$
$x=9$
$y=12,~z=6$