Question

The sum of three consecutive even integers is $66$. Find all the three integers.

Answer 1

Finding the numbers:

Let the three consecutive even integers be $x-2,x,x+2$.

Now, the sum of three consecutive even integers is $66$.

$$\begin{gathered} x-2+x+x+2=66 \\ 3x=66 \\ x=\frac{66}{3}=22 \end{gathered}$$

$$\begin{gathered} \therefore x-2=22-2=20 \\ x=22 \\ x+2=22+2=24 \end{gathered}$$

Thus, $20,22,24$ are three consecutive even integers whose sum is $66$.