Question

[Nguyễn Ngọc Thái Thanh]

tim x y z biet

\(x:z=\frac{2}{3}:\frac{1}{2},z:y=1:\frac{4}{7}\&y+z=66\)

Answer 1

[Nguyễn Huy Hải]

\(x:z=\frac{2}{3}:\frac{1}{2}=\frac{4}{3}\Rightarrow x=\frac{4}{3}.z\)

\(z:y=1:\frac{4}{7}=\frac{7}{4}\Rightarrow z=y.\frac{7}{4}\)

\(\Rightarrow y+z=y+y.\frac{7}{4}=66\)

\(y.\frac{11}{4}=66\Rightarrow y=24\)

\(\Rightarrow z=24.\frac{7}{4}=42\)

\(\Rightarrow x=42.\frac{4}{3}=56\)