Question

The sum of the two numbers is $\frac{5}{9}.$ If one of the numbers is $\frac{1}{3},$ find the other.

Answer 1

$$\begin{gathered} \mathrm{It}\mathrm{is}\mathrm{given}\mathrm{that}the\mathrm{sum}\mathrm{of}\mathrm{two}\mathrm{numbers}\mathrm{is}\frac{5}{9},\mathrm{where}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{number}s\mathrm{is}\frac{1}{3}. \\ \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{be}x. \\ \therefore x+\frac{1}{3}=\frac{5}{9} \\ \Rightarrow x=\frac{5}{9}-\frac{1}{3} \\ \Rightarrow x=\frac{5}{9}-\frac{3}{9} \\ \Rightarrow x=\frac{5-3}{9} \\ \Rightarrow x=\frac{2}{9} \end{gathered}$$