Question

Frame linear equations in two variables representing the following information.

(i) The sum of two numbers is 125 and their difference is 25.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{first}\mathrm{number}\mathrm{and}\mathrm{second}\mathrm{number}\mathrm{be}x\mathrm{and}y,\mathrm{respectively}. \\ \mathrm{Sum}\mathrm{of}\mathrm{the}\mathrm{two}\mathrm{numbers}=125 \\ \therefore x+y=125 \\ \mathrm{Difference}\mathrm{of}\mathrm{the}\mathrm{two}\mathrm{numbers}=25 \\ \therefore x-y=25. \end{gathered}$$