Question

$$\frac{ n }{ 10 } =9- \frac{ n }{ 5 }$$

Answer

n=30

Solution


Multiply both sides by \(10\) (the LCM of \(10, 5\)).
\[n=90-2n\]
Add \(2n\) to both sides.
\[n+2n=90\]
Simplify  \(n+2n\)  to  \(3n\).
\[3n=90\]
Divide both sides by \(3\).
\[n=\frac{90}{3}\]
Simplify  \(\frac{90}{3}\)  to  \(30\).
\[n=30\]