Question 930047
Let x+12 = Larger Number
      x  = smaller Number

Two numbers that have a difference of 12
x+12-x = 12

and a quotient of 3
x+12/x = 3

Multiply each side by x
x+12 = 3x
  12 = 2x
   6 = x

Substitute x for 6
6+12 = 18

The numbers are 18 and 6.

Check
18 - 6 = 12
    12 = 12

  18/6 = 3
     3 = 3