SOLUTION: Find three consecutive even integers such that two times the sum of the first and the second is equal to three times the third.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive even integers such that two times the sum of the first and the second is equal to three times the third.      Log On


   

Question 165994: Find three consecutive even integers such that two times the sum of the first and the second is equal to three times the third.
Answer by sata001(4) About Me  (Show Source):
You can put this solution on YOUR website!
let these numbers be 2x 2x+2 and 2x+4.
two times the sum of the first and the second is equal to three times the third means that:
2*(2x + 2x+2)=3*(2x+4)
2*(4x+2)=6x+12
8x+4=6x+12
2x=8
x=4
so the three consecutive even integers are 8, 10 and 12.