Question

Find three consecutive even integers whose sum is 222.

Short answer

The integers are $72,74,76$.

Step-by-step solution

Step 1. Given information 

We have been given that the sum of three consecutive even integers is 222.

We have to find the integers.

Step 2. Form the equation 

Let the first even integer is x.

So, the next two consecutive even integers will be $(x+2),(x+4)$.

As per the given statement,

$x+x+2+x+4=222$

Step 3. Solve the equation 

$$\begin{gathered} x+x+2+x+4=222 \\ 3x+6=222 \\ 3x=222-6 \\ 3x=216 \\ x=\frac{216}{3} \\ x=72 \end{gathered}$$

Thus$x+2=74$ and $x+4=76$.