<PRE><B>Question 1071370</B>
After a certain number is diminished by 6, the amount remaining is multiplied by 6 the result is the same as the number is diminished by 3 and the amount remaining is multiplied by 3.
 What is the number?
:
6(x - 6) = 3(x - 3) 
6x - 36 = 3x - 9
6x - 3x = -9 + 36
3x = 27
x = 27/3
x = 9
:
:
you can check this in the original equation
6(9 - 6) = 3(9 - 3)</PRE>