SOLUTION: If 2 is subtracted from twice a positive number, then the result is equal to half the number subtracted from 6. Find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: If 2 is subtracted from twice a positive number, then the result is equal to half the number subtracted from 6. Find the number       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1005254: If 2 is subtracted from twice a positive number, then the result is equal to half the number subtracted from 6. Find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If 2 is subtracted from twice a positive number, then the result is equal to half the number subtracted from 6.
Find the number
:
We can represent the above statement with an equation:
2n - 2 = 6 - 1%2F2n
Add 2 to both sides
2n = 8 - 1%2F2n
multiply equation by 2, to get rid of the denominator
4n = 16 - n
add n to both sides
5n = 16
n = 16/5
n = 3.2
:
:
See if that checks out
2(3.2) - 2 = 6 - 1%2F2(3.2)
6.4 - 2 = 6 - 1.6
4.4 = 4.4