Question

Four consecutive even integers add up to 52. What are the numbers?

Answer 1

`n=10, 12, 14, 16`

Explanation:

`n+n+2+n+4+n+6=52`
`4n+12=52`
`4n = 40`
`n=10`

Answer 2

`10, 12, 14, 16`

Explanation:

A generic even integer can be represented by `2n` where `n` itself is also an integer

So then, the four consecutive integers would be:

`2n, 2n+2, 2n+4, 2n+6`

We know that the sum of these integers is `52` and so;

`2n+(2n+2)+(2n+4)+(2n+6) =52`

`:. 8n+12 =52`
`:. 8n =40`
`:. n =5`

And so with this value of n the even consecutive numbers are:

`10, 12, 14, 16`