Question

find 3 consecutive odd integers when the sum of the first and third integer is 26

Answer 1

Let's call the first odd number x.

The next odd number will be x + 2, and the last one will be x + 4.

If the sum of the first number and the last one is 26, we have that:

$\begin{gathered} x+x+4=26 \\ 2x+4=26 \\ 2x=22 \\ x=\frac{22}{2}=11 \end{gathered}$

So the numbers are:

$\begin{gathered} x\to11 \\ x+2\to13 \\ x+4\to15 \end{gathered}$

11, 13 and 15.