Question

The sum of three consecutive odd numbers is 153. Find the numbers.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}3\mathrm{consecutive}\mathrm{odd}\mathrm{numbers}\mathrm{are}x,x+2,x+4 \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ x+x+2+x+4=153 \\ \Rightarrow 3x+6=153 \\ \Rightarrow 3x=153-6 \\ \Rightarrow 3x=147 \\ \Rightarrow x=\frac{147}{3} \\ \Rightarrow x=49 \\ \mathrm{So},\mathrm{consecutive}\mathrm{odd}\mathrm{numbers}\mathrm{are}:49,51\mathrm{and}53 \end{gathered}$$