Question

a rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12.what is the nimber?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}=\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ \frac{5}{2}\times \mathrm{x}+\frac{2}{3}=-\frac{7}{12} \\ \Rightarrow \frac{5\mathrm{x}}{2}=-\frac{7}{12}-\frac{2}{3} \\ \Rightarrow \frac{5\mathrm{x}}{2}=\frac{-7-8}{12} \\ \Rightarrow \frac{5\mathrm{x}}{2}=-\frac{15}{12} \\ \Rightarrow \mathrm{x}=-\frac{3}{6}=-\frac{1}{2} \\ \mathrm{Hence},\mathrm{the}\mathrm{required}\mathrm{number}=-\frac{1}{2} \end{gathered}$$