189k views
5 votes
The sum of five consecutive even integers is 220. Find the middle value of the five consecutive integers.

2 Answers

4 votes

Answer:

44

Explanation:

User Quamber Ali
by
7.5k points
4 votes

Answer:

44

Explanation:

If we have odd number of consecutive numbers increasing by the same value (2) then the middle value of them is their mean:

220:5 = 44

Of course you can find them to be sure:

Consecutive even integers increase by 2.

So if 2x is the smallest of them (x is an integer), then the numbers are:

2x, 2x+2, 2x+4, 2x+6, 2x+8

So their sum: 10x+20

10x + 20 = 220 ⇒ 10x = 200 ⇒ 2x = 40

So the numbers are: 40, 42, 44, 46, 48

User Evan Darwin
by
8.3k points