Question

the sum of three consecutive integers is 36. what are the integers?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}3\mathrm{consecutive}\mathrm{integers}\mathrm{be}\mathrm{x},\mathrm{x}+1\mathrm{and}\mathrm{x}+2. \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ \mathrm{x}+\mathrm{x}+1+\mathrm{x}+2=36 \\ \Rightarrow 3\mathrm{x}+3=36 \\ \Rightarrow 3\mathrm{x}=36-3 \\ \Rightarrow 3\mathrm{x}=33 \\ \Rightarrow \mathrm{x}=\frac{33}{3}=11 \\ \mathrm{Now},\mathrm{required}\mathrm{integers}\mathrm{are}:11,12\mathrm{and}13 \end{gathered}$$