Let the two numbers be 'x' and 'y'.
As given in the question,
[tex]y = 2x[/tex]
Now,
[tex]4 + x = y - 6[/tex]
[tex]4 + x = 2x - 6[/tex]
[tex]4 + 6 = 2x - x[/tex]
[tex]10 = x[/tex]
Therefore the two numbers are:
[tex]x = 10[/tex]
[tex]y = 2x = 20[/tex]