Question

The sum of three consecutive even integers is 228, how do you find the integers?

Answer 1

`74`, `76` and `78`

Explanation:

Let the first of your integers be `x`.

As you are only looking at even integers, the next consecutive even integer would be `x + 2` and the consecutive even integer after that would be `x + 4`.

You know that their sum is `228`, so you have

`x + (x+2) + (x + 4) = 228`

`<=> color(white)(xxx) x + x + 2 + x + 4 = 228`

`<=>color(white)(xxxxxxxxxxx) 3x + 6 = 228`

Subtract `6` from both sides of the equation:

`<=> 3x = 222`

Divide by `3` on both sides of the equation:

`<=> x = 74`

Thus, your consecutive even integers are `74`, `76` and `78`.