\(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}=\dfrac{y+z-x}{3+4-2}=\dfrac{x-y+z}{2-3+4}\)
\(\Rightarrow\dfrac{y+z-x}{5}=\dfrac{x-y+z}{3}\)
\(\Rightarrow A=\dfrac{y+z-x}{x-y+z}=\dfrac{5}{3}\)
Bạn tham khảo nhé:
* \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}=\dfrac{y+z-x}{3+4-2}=\dfrac{y+z-x}{5}\) (1)
* \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}=\dfrac{x-y+z}{2-3+4}=\dfrac{x-y+z}{3}\) (2)
(1)(2)=> \(\dfrac{y+z-x}{5}=\dfrac{x-y+z}{3}=\dfrac{y+z-x}{x-y+z}=\dfrac{5}{3}\)
=> A= \(\dfrac{5}{3}\)




