Question

Cho x;y là các số khác 0 và (x-y)/3 =(x+y)/13 = (x.y)/200 . Vậy x ; y bằng ....

Answer 1

\(\frac{x-y}{3}=\frac{x+y}{13}=\frac{\left(x-y\right)+\left(x+y\right)}{3+13}=\frac{2x}{16}=\frac{x}{8}=\frac{25x}{200}=\frac{xy}{200}\)

\(\Rightarrow y=25\)

\(\frac{x-25}{3}=\frac{x+25}{13}\)

\(\Leftrightarrow13\left(x-25\right)=3\left(x+25\right)\)

\(\Leftrightarrow13x-325=3x+75\)

\(\Leftrightarrow13x-3x=75+325\)

\(\Leftrightarrow10x=400\)

\(\Rightarrow x=40\)

Vậy \(x=40;y=25\)