Question

Solve this:

(27) I am an integer when you add 21 to me, the result is $-10$.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{integer}=\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ \mathrm{x}+21=-10 \\ \Rightarrow \mathrm{x}=-10-21 \\ \Rightarrow \mathrm{x}=-31 \\ \mathrm{So},\mathrm{required}\mathrm{integer}=-31 \end{gathered}$$