Question

Solve the equation. Check your solution.

$60=\frac{3}{4}\mathrm{h}$

Answer 1

Step 1 : Solve the equation

We have,

$$\begin{gathered} \Rightarrow 60=\frac{3}{4}h \\ \Rightarrow 60\times \frac{4}{3}=\frac{3}{4}h\times \frac{4}{3}[\mathrm{Multiplying}\mathrm{both}\mathrm{sides}\mathrm{by}\frac{4}{3}] \\ \Rightarrow 20\times 4=h \\ \therefore 80=h \end{gathered}$$

Step 2 : Check the solution

Put the value of $h$ in the given equation

$$\begin{gathered} \Rightarrow 60=\frac{3}{4}\times h \\ \Rightarrow 60=\frac{3}{4}\times 80 \\ \Rightarrow 60=3\times 20 \\ \Rightarrow 60=60 \\ \therefore \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the value of $h=80$.