SOLUTION: Twice the sum of two consecutive even integers is 260. Find the integers

Algebra.Com
Question 172776: Twice the sum of two consecutive even integers is 260. Find the integers
Found 2 solutions by solver91311, Mathtut:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

First even integer:

Next consecutive even integer:

Sum of the consecutive integers:

Twice the sum:

Solve to get one of the integers, add 2 to the result to get the second one.

Check your work by adding the two integers and doubling the result. If you get 260, you have done the work correctly.

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
lets call our intergers a and a+2
:
2(a+a+2)=260
:
2(2a+2)=260
:
4a+4=260
:
4a=256
:
integer 1
:
integer 2
:

RELATED QUESTIONS

Find three consecutive even integers for which 3 times the largest is twice the sum of... (answered by checkley77)
The sum of two consecutive even integers is ten less than twice their product. Find their (answered by nerdybill)
The sum of the squares of two consecutive even integers is 100. Find the two... (answered by checkley71)
The sum of the squares of two consecutive even integers is 1684. Find the two... (answered by Alan3354)
The sum of two consecutive EVEN integers is 182. Algebraically, find the two... (answered by Fombitz)
The sum of two consecutive even integers is 40. find the two... (answered by Alan3354)
the sum of two consecutive even integers is -78. find the two... (answered by Alan3354)
The sum of two consecutive even integers is 78. Find the two... (answered by macston,Alan3354)
The sum of the squares of two consecutive even integers is 52. Find the... (answered by tutmath)