SOLUTION: two times the first of three consecutive even integers is twenty-four more than the product of the third integer and four. find the integers.

Question 274606: two times the first of three consecutive even integers is twenty-four more than the product of the third integer and four. find the integers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let the 3 consecutive even integers be: x, (x+2), (x+4)
:
write an equation for what it says:
"two times the first... is twenty-four more than the product of the third integer and four."
2x = 4(x+4) + 24
:
2x = 4x + 16 + 24
:
2x - 4x = 40
:
-2x = 40
x has to be +, multiply by -1
2x = -40
x = -20 is the 1st integer
then
-18, -16 are the 2nd and third integers
;
:
See if that's true
2(-20) = 4(-16) + 24
-40 = -64 + 24

RELATED QUESTIONS
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 mananth)