Question

Tìm x là số nguyên 

\(\dfrac{x+46}{20}=x\dfrac{2}{5}\)(\(x\dfrac{2}{5}\)là hỗn số)

Answer 1

\(\dfrac{x+46}{20}=x\dfrac{2}{5}\)

\(\Rightarrow\dfrac{x+46}{20}=\dfrac{5x+2}{5}\)

\(\Leftrightarrow5\cdot\left(x+46\right)=20\cdot\left(5x+2\right)\)

\(\Leftrightarrow100x+40-5x-230=0\)

\(\Leftrightarrow95x-190=0\)

\(\Leftrightarrow x=2\)