Question

sum of three consecutive integers is 900 . find the integers

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}3\mathrm{consecutive}\mathrm{integers}\mathrm{be}\mathrm{x},\mathrm{x}+1\mathrm{and}\mathrm{x}+2 \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ \mathrm{x}+\mathrm{x}+1+\mathrm{x}+2=900 \\ \Rightarrow 3\mathrm{x}+3=900 \\ \Rightarrow 3\mathrm{x}=900-3 \\ \Rightarrow 3\mathrm{x}=897 \\ \Rightarrow \mathrm{x}=\frac{897}{3}=299 \\ \mathrm{So},\mathrm{consecutive}\mathrm{integers}\mathrm{are}: \\ 299,300\mathrm{and}301 \end{gathered}$$