13.7k views
2 votes
The sum of 5 consecutive even numbers is 130. find the numbers.

User Mawueth
by
4.9k points

2 Answers

4 votes

Answer:

22,24,26,28,30

Explanation:

I call the unknown number x

I write consecutive numbers in terms of x.

x+ (x+2) + (x+4) + (x+6) + (x+8) = 130

5x + 20 = 130

5x = (130 - 20)

5x = 110

x = 22 = smallest even number

x + 2 = 24 = second even number

x +4 = 26

x + 6 = 28

x + 8 = 30

User Jonathanpberger
by
4.9k points
3 votes

Answer:

22, 24, 26, 28, 30

Explanation:

If the sum of 5 numbers is 130, that means the average of these numbers is 26.

If it is the average then it is the middle, or the third number. The two numbers before it would then be 22 and 24 by subtracting twos, and the two numbers after it would be 28 and 30 by adding twos.

22, 24, 26, 28, 30

User DeeTee
by
5.5k points