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

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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
: