SOLUTION: 4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of ev

Algebra.Com
Question 957618: 4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of even. I tried this, but I must be setting it up wrong....
integers are : x, x + 2, x + 4
set it up like this : 4(x) = 2(x + 4) + 6
that does not work....what am I doing wrong ?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
4 times the first of three consecutive EVEN integers is 6 more then the product of 2 and the 3rd integer.Find the integers. I keep getting odd numbers for my integers instead of even. I tried this, but I must be setting it up wrong....
integers are : x, x + 2, x + 4
set it up like this : 4(x) = 2(x + 4) + 6
that does not work....what am I doing wrong ?
---------------
4x = 2*(x+4) + 6
4x = 2x+8 + 6 = 2x + 14
x = 7
===================
There's no solution with even integers.
----
Try 6, 8 & 10
4*6 =? 2*10 + 6 NG
---
Try 8, 10 & 12
4*8 =? 2*12 + 6 NG

RELATED QUESTIONS

Find three consecutive positive even integers such that the product of the second and... (answered by richard1234)
two times the first of three consecutive even integers is twenty-four more than the... (answered by ankor@dixie-net.com)
Four times the first of three consecutive even integers is six more than the product of... (answered by harpazo)
four times the first of three consecutive even integers is six more than the product of... (answered by CubeyThePenguin)
Find three consecutive positive even integers such that the product of the second and... (answered by dabanfield)
Find three consecutive positive even integers such that the product of the second and... (answered by solver91311)
find three consecutive even integers such that the product of the second and third... (answered by checkley77)
Find three consecutive positive even integers such that the product of the second and... (answered by JBarnum)
Find three consecutive positive even integers such that the product of the second and... (answered by nyc_function)
Find three consecutive positive even integers such that the product of the second and... (answered by nyc_function)