Question

Express the following information in mathematical form using two variables :
(ii) The ratio of two numbers is 3 : 8

Answer 1

Let the two numbers be x and y.

$$\begin{gathered} \mathrm{The}\mathrm{ratio}\mathrm{of}\mathrm{the}\mathrm{two}\mathrm{numbers}\mathrm{is}3:8. \\ \therefore x:y=3:8 \\ \Rightarrow \frac{x}{y}=\frac{3}{8} \\ \Rightarrow 8x=3y \\ \Rightarrow 8x-3y=0 \end{gathered}$$