Question

if the additivw inverse of a number is 5 times the multiplicative inverse of -6/7,then what is a number ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}=\mathit{}x \\ \mathrm{now},\mathrm{additive}\mathrm{inverse}\mathrm{of}\mathrm{required}\mathrm{number}=-x \\ \mathrm{multiplicative}\mathrm{inverse}\mathrm{of}-\frac{6}{7}=-\frac{7}{6}. \\ \mathrm{According}\mathrm{to}\mathrm{the}\mathrm{given}\mathrm{condition}, \\ \mathrm{additive}\mathrm{inverse}\mathrm{of}\mathrm{required}\mathrm{number}=5\left(\mathrm{multiplicative}\mathrm{inverse}\mathrm{of}-\frac{6}{7}\right) \\ \Rightarrow -x=5\times \left(-\frac{7}{6}\right) \\ \Rightarrow x\mathit{}=\frac{35}{6} \\ \mathrm{So},\mathrm{the}\mathrm{required}\mathrm{number}=\frac{35}{6} \end{gathered}$$