SOLUTION: PLEASE HELP WITH THIS WORD PROBLEM....IF YOU DOUBLE A NUMBER AND ADD 12,YOU GET 1/2 OF THE ORIGINAL NUMBER. WHAT IS THE ORIGNAL NUMBER?

Algebra ->  Real-numbers -> SOLUTION: PLEASE HELP WITH THIS WORD PROBLEM....IF YOU DOUBLE A NUMBER AND ADD 12,YOU GET 1/2 OF THE ORIGINAL NUMBER. WHAT IS THE ORIGNAL NUMBER?      Log On


   

Question 496655: PLEASE HELP WITH THIS WORD PROBLEM....IF YOU DOUBLE A NUMBER AND ADD 12,YOU GET 1/2 OF THE ORIGINAL NUMBER. WHAT IS THE ORIGNAL NUMBER?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the original number
+2n+%2B+12+=+%281%2F2%29%2An+
Multiply both sides by 2
+4n+%2B+24+=+n+
Subtract n from both sides
+3n+%2B+24+=+0+
Subtract 24 from both sides
+3n+=+-24+
Divide both sides by 3
+n+=+-8+
the original number was -8
check:
double it is -16
Add 12, and you have -4
-4 is half of -8
OK