Four consecutive even integers add up to 52. What are the numbers?
2 Answers
Apr 17, 2017
Explanation:
Apr 17, 2017
# 10, 12, 14, 16 #
Explanation:
A generic even integer can be represented by
So then, the four consecutive integers would be:
# 2n, 2n+2, 2n+4, 2n+6 #
We know that the sum of these integers is
# 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 #