Question

Find three consecutive even numbers whose sum is 234.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{first}\mathrm{even}\mathrm{number}bex. \\ \mathrm{Let}\mathrm{the}\mathrm{second}\mathrm{even}\mathrm{number}bex+2. \\ \mathrm{Let}\mathrm{the}\mathrm{third}\mathrm{even}\mathrm{number}\mathrm{be}x+4. \\ \therefore x+x+2+x+4=234 \\ \Rightarrow x+x+2+x+4=234 \\ \Rightarrow 3x+6=234 \\ \Rightarrow 3x=234-6 \\ \Rightarrow 3x=228 \\ \Rightarrow x=\frac{228}{3}=76 \\ \therefore F\mathrm{irst}\mathrm{even}\mathrm{number}=x=76 \\ S\mathrm{econd}\mathrm{even}\mathrm{number}=x+2=76+2=78 \\ T\mathrm{hird}\mathrm{even}\mathrm{number}=x+4=80 \end{gathered}$$