SOLUTION: Im thinking of an integer. Half of this integer is more than one third of the next integer. What is this integer?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Im thinking of an integer. Half of this integer is more than one third of the next integer. What is this integer?      Log On


   

Question 303492: Im thinking of an integer. Half of this integer is more than one third of the next integer. What is this integer?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Im thinking of an integer.
Half of this integer is more than one third of the next integer.
What is this integer?
:
x = "the integer"
:
1%2F2x > 1%2F3(x+1)
multiply by 6, results
3x > 2(x+1)
3x > 2x + 2
3x - 2x > 2
x > 2
:
See if that is true, assume x=3
1%2F2(3) > 1%2F3(4)
1.5 > 1.33