Question

The sum of three consecutive even numbers is 30.Find the numbers.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{three}\mathrm{consecutive}\mathrm{even}\mathrm{numbers}\mathrm{be}2\mathrm{x},2\mathrm{x}+2\mathrm{and}2\mathrm{x}+4. \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 2\mathrm{x}+2\mathrm{x}+2+2\mathrm{x}+4=30 \\ \Rightarrow 6\mathrm{x}+6=30 \\ \Rightarrow 6\mathrm{x}=30-6 \\ \Rightarrow 6\mathrm{x}=24 \\ \Rightarrow \mathrm{x}=\frac{24}{6}=4 \\ \mathrm{So},\mathrm{consecutive}\mathrm{even}\mathrm{numbers}\mathrm{are}:8,10\mathrm{and}12 \end{gathered}$$