Question

The sum of three consecutive odd natural numbers is $111$. Find the numbers.

Answer 1

Finding the required numbers

Let the three consecutive odd natural numbers are, $x,x+2,x+4$

Given that, sum of three consecutive odd natural numbers is $111$

According to the question,

$$\begin{gathered} \left(x\right)+(x+2)+(x+4)=111 \\ \Rightarrow 3x+6=111 \\ \Rightarrow 3x=111-6 \\ \Rightarrow x=\frac{105}{3} \\ \Rightarrow x=35 \end{gathered}$$

Therefore,

$$\begin{gathered} \Rightarrow x+2=35+2 \\ =37 \\ \Rightarrow x+4=35+4 \\ =39 \end{gathered}$$

Hence, the three consecutive odd natural numbers are $35,37,39$