Question

The sum of two numbers is $\frac{-4}{3}.$ If one of the numbers is −5, find the other.

Answer 1

$$\begin{gathered} \mathrm{It}\mathrm{is}\mathrm{given}\mathrm{that}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{two}\mathrm{numbers}\mathrm{is}\frac{-4}{3},\mathrm{where}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{number}s\mathrm{is}-5. \\ \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{be}x. \\ \therefore x+(-5)=\frac{-4}{3} \\ \Rightarrow x=\frac{-4}{3}-\left(\frac{-5}{1}\right) \\ \Rightarrow x=\frac{-4}{3}-\frac{-15}{3} \\ \Rightarrow x=\frac{-4-(-15)}{3} \\ \Rightarrow x=\frac{-4+15}{3}=\frac{11}{3} \end{gathered}$$