SOLUTION: Please help me. After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount r

Algebra ->  College  -> Linear Algebra -> SOLUTION: Please help me. After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount r      Log On


   

Question 1054225: Please help me.
After a certain number is diminished by 8, the amount remaining is multiplied by 8; the result is the same as if the number were diminished by 3 and the amount remaining multiplied by 3. What is the number?
The number is
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
8(x-8) = 3(x-3)  --->

8x - 64 = 3x - 9   --->

5x = 64-9   --->

5x = 55  --->  x = 55%2F5 = 11.

The number is 11.