Question

5x=8y=20z và x-y-z=20

Answer 1

Ta có: 5x = 8y = 20z

\(\Rightarrow\frac{x}{8}=\frac{y}{5};\frac{y}{20}=\frac{z}{8}\)

\(\Rightarrow\frac{x}{48}=\frac{y}{20}=\frac{z}{8}=\frac{x-y-z}{48-20-8}=\frac{20}{20}=1\)

Vậy x = 1 x 48 = 48

y = 1 x 20 = 20

z = 1 x 8 = 8

CHÚC BẠN HỌC TỐT!

Thử lại: 48 - 20 - 8 = 20

Answer 2

\(5x=8y=20z\Rightarrow\)\(\frac{5x}{40}=\frac{8y}{40}=\frac{20z}{40}\Rightarrow\frac{x}{8}=\frac{y}{5}=\frac{z}{2}=\frac{x-y-z}{8-5-2}=20\)

suy ra \(x=20\times8=160\)

           \(y=20\times5=10\)

            \(z=20\times2=40\)