Question

The sum of three consecutive odd numbers is$69$. Find the numbers.

Answer 1

Given, The sum of three consecutive odd numbers is$69$.

Let three consecutive numbers are $x-2,x,x+2$

Then,

$$\begin{gathered} \left(x-2\right)+x+\left(x+2\right)=69 \\ \Rightarrow x-2+x+x+2=69 \\ \Rightarrow 3x=69 \\ \Rightarrow x=\frac{69}{3}=23 \end{gathered}$$

Thus,

$\begin{array}{rcl}x-2& =& 23-2=21\\ x& =& 23\\ x+2& =& 23+2=25\end{array}$

Hence, the three consecutive odd numbers are $21,23,25$