Question

x/2=y/3,y/z=4/5 và x+y-z=10

lưu ý:/ là phần

 

Answer 1

\(\frac{x}{2}=\frac{y}{3}\Rightarrow\frac{x}{8}=\frac{y}{12}\)

\(\frac{y}{z}=\frac{4}{5}\Rightarrow\frac{y}{4}=\frac{z}{5}\Rightarrow\frac{y}{12}=\frac{z}{15}\)

nên :

\(\frac{x}{8}=\frac{y}{12}=\frac{z}{15}\)

\(\Rightarrow\frac{x+y-z}{8+12-15}=\frac{x}{8}=\frac{y}{12}=\frac{z}{15}\) mà x + y - z = 10

\(\Rightarrow\frac{10}{5}=\frac{x}{8}=\frac{y}{12}=\frac{z}{15}\)

\(\Rightarrow2=\frac{x}{8}=\frac{y}{12}=\frac{z}{15}\)

\(\Rightarrow\hept{\begin{cases}x=2\cdot8=16\\y=2\cdot12=24\\z=2\cdot15=30\end{cases}}\)

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