Question

Tìm số tự nhiên x, biết: \(\left(x-5\right)\frac{30}{100}=\frac{20x}{100}+5\)

 

Answer 1

Ta có: \(\left(x-5\right)\frac{30}{100}=\frac{20x}{100}+5\)

\(\Rightarrow\left(x-5\right)\frac{3}{10}=\frac{x}{5}+5\)

\(\Rightarrow\frac{3x-15}{10}=\frac{25+x}{5}\)

\(\Rightarrow5\left(3x-15\right)=10\left(25+x\right)\)

\(\Rightarrow15x-75=250+10x\)

\(\Rightarrow15x-10x=250+75\)

\(\Rightarrow5x=325\Rightarrow x=\frac{325}{5}=65\)

Answer 2

\(\left(x-8\right).\frac{3}{10}=\frac{1}{5}x+5\)

\(\frac{3}{10}x-\frac{3}{2}=\frac{1}{5}x+5\)

\(\frac{3}{10}x=\frac{1}{5}x+6,5\)

\(\Rightarrow\frac{1}{10}x=6,5\)

\(x=\frac{6,5}{\frac{1}{10}}\)

\(x=65\)

Vậy \(x=65\)