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

2 Answers
Apr 17, 2017

n=10, 12, 14, 16

Explanation:

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

Apr 17, 2017

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