SOLUTION: if 10 subtracted from one-half of a number the result is 7 more than one third of the number. find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: if 10 subtracted from one-half of a number the result is 7 more than one third of the number. find the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 990988: if 10 subtracted from one-half of a number the result is 7 more than one third of the number. find the number
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%2F2 - 10 = x%2F3 + 7.

Simplify and solve it:

3x - 60 = 2x + 42,

x = 42 + 60,

x = 102.

Check.  x%2F2 - 10 = 102%2F2 - 10 = 51 - 10 = 41.

            x%2F3 + 7 = 102%2F3 + 7 = 34 + 7 = 41.

The solution is correct.