Question 509390
Let x be the larger number.  Let y be the smaller number

x = 2y
y + 4 = x - 6

Sub 2y in for x.

y + 4 = 2y - 6

y = 10

Sub y =10 back into either original equation

x = 2*10 

x = 20


So the numbers are 10 and 20.