Answer:
x=19
y=38
Step-by-step explanation:
Let x be the smaller number
Let y be the larger number
The larger of 2 numbers is twice the smaller number :
[tex]y = 2x[/tex]
if 12 is subtracted from the larger number the result is 7 more than the smaller number :
[tex]y-12 = 7+x[/tex]
To solve for x ;
Substitute 2x for y in the second equation
[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]
To solve for y
[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]
