Question

Put $>,<$or $=$ in the boxes.

If $\frac{\mathrm{n}}{5}=5$ then $25\boxed{}\mathrm{n}$

Answer 1

Step 1: Finding the solution of $\mathrm{n}$

Given, $\frac{\mathrm{n}}{5}=5$

$$\begin{gathered} \Rightarrow \frac{\mathrm{n}}{5}=5 \\ \Rightarrow \frac{\mathrm{n}}{5}\times 5=5\times 5[\mathrm{Multiplying}\mathrm{both}\mathrm{sides}\mathrm{by}5] \\ \therefore \mathrm{n}=25 \end{gathered}$$

Step 2: Comparing the given equation $25\boxed{}\mathrm{n}$

L.H.S$=25\left(1\right)$

R.H.S $=\mathrm{n}$

$=25\left(2\right)$

From $\left(1\right)\mathrm{and}\left(2\right)$

L.H.S $=$ R.H.S

$\therefore$$25\boxed{=}\mathrm{n}$

Hence, If $\frac{\mathrm{n}}{5}=5$ then $25\boxed{=}\mathrm{n}$.