SOLUTION: the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers?

Question 389799: the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers?
----
1st: 2x-2
2nd: 2x
3rd: 2x+2
4th: 2x+4
-----
Equation:
2x+4 = 2(2x-2)-14
2x+4 = 4x-18
2x = 22
x = 11
----
1st: 20
2nd: 22
3rd: 24
4th: 26
=============
Cheers,
Stan H.
RELATED QUESTIONS
Thank you for your help. My question is: The greatest of four consecutive even... (answered by checkley77)

the greatest of three consecutive integers is 32 less than twice the smallest integer.... (answered by CubeyThePenguin)

The sum of four consecutive integers is 14 less than 5 times the smallest integer. Find... (answered by fractalier)

Twice the greatest integer of four consecutive even integers is 38 less than the sum of... (answered by CubeyThePenguin)

1. The greatest of four consecutive even integers is 14 less than twice the smalles... (answered by longjonsilver)

I have 5 questions 1.the greater of two consecutive integers is 10 less than twice the (answered by rmromero)

seven times the smallest of four consecutive even integers is the same as two less than... (answered by lwsshak3)

Find three consecutive even integers whose sum is ten less than four times the smallest... (answered by hard,ptaylor)

Three consecutive odd integers are such that their sum is more than 57 decreased by twice (answered by stanbon,TeachMath)