Question

Cho\(\frac{3x}{4}\)=\(\frac{y}{2}\)=\(\frac{3z}{5}\)và y-z=15.Tính: x+y+z

Giúp mk nha! Gấp lắm luôn đó! mk sẽ tick cho!

Answer 1

Kết quả là 225

Tick nha!

Answer 2

\(\frac{3x}{4}=\frac{y}{2}=\frac{3z}{5}\)

\(\Rightarrow\frac{x}{\frac{4}{3}}=\frac{y}{2}=\frac{z}{\frac{5}{3}}=\frac{x+y+z}{5}=\frac{y-z}{\frac{1}{3}}=\frac{15}{\frac{1}{3}}=45\)

\(\Rightarrow x+y+z=45.5=225\)

PS: Bài hồi nãy làm nhầm nhé

Answer 3

\(\frac{3x}{4}=\frac{y}{2}=\frac{3z}{5}=\frac{x}{\frac{4}{3}}=\frac{y}{\frac{2}{1}}=\frac{z}{\frac{5}{3}}\)

Áp dụng TC DTSBN ta có :

\(\frac{x}{\frac{4}{3}}=\frac{y}{\frac{2}{1}}=\frac{z}{\frac{5}{3}}=\frac{y-z}{\frac{2}{1}-\frac{5}{3}}=\frac{15}{\frac{1}{3}}=45\)

\(\Rightarrow\frac{x}{\frac{4}{3}}=45\Rightarrow x=45.\frac{4}{3}=60\)

\(\Rightarrow\frac{y}{\frac{2}{1}}=45\Rightarrow y=45.2=90\)

\(\Rightarrow\frac{z}{\frac{5}{3}}=45\Rightarrow z=45.\frac{5}{3}=75\)

\(\Rightarrow x+y+z=60+90+75=225\)

Answer 4

\(\frac{3x}{4}=\frac{y}{2}=\frac{3z}{5}\)

\(\Rightarrow\frac{x}{\frac{4}{3}}=\frac{y}{2}=\frac{z}{\frac{5}{3}}=\frac{x+y+z}{5}=\frac{x-z}{-\frac{1}{3}}=\frac{15}{-\frac{1}{3}}=-45\)

\(\Rightarrow x+y+z=-45.5=-225\)