Question

If the sum of three consecutive integers is $9$, what are the integers?

Answer 1

Find the consecutive integers:

Consider that the consecutive integers are $x,x+1$ and $x+2$.
We know that the sum of three consecutive integers is $9$.
$$\begin{gathered} x+x+1+x+2=9 \\ \Rightarrow 3x+3=9 \\ \Rightarrow 3x=9-3 \\ \Rightarrow 3x=6 \\ \Rightarrow x=6\times \frac{1}{3} \\ \Rightarrow x=2 \end{gathered}$$
Substitute the value of $x=2$ in the consecutive integers $x,x+1$ and $x+2$.
The values of consecutive integers are$2,3$ and $4$.

Therefore, the required consecutive integers are$2,3$ and $4$.