SOLUTION: Four times the first of three consecutive even integers is sixteen more than three times the second. Find the integers

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Four times the first of three consecutive even integers is sixteen more than three times the second. Find the integers      Log On


   

Question 525369: Four times the first of three consecutive even integers is sixteen more than three times the second. Find the integers
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
There are three consecutive even integers. Define these as:
x
x+2
x+4
.
4x - 16 = 3*(x+2)
4x -16 = 3x + 6
x = 22
.
x+2 = 24
.
x+4 = 26
.
Check the answer.
4x = 4*22 = 88
88 -16 = 72
3*24 = 72
Correct.
.
Answer: The three consecutive even integers are: 22, 24, and 26.
.
Done.