Answer:
Two numbers are 38 and 10
Step-by-step explanation:
Let x and y are the two numbers
One number is 18 more than twice the other number.
[tex]y=2x+18[/tex]
The sum of the numbers is 48.
[tex]x+y=48[/tex]
Plug in y =2x+18
[tex]x+2x+18=48[/tex]
[tex]3x+18=48[/tex]
Subtract 18 from both sides
[tex]3x=30[/tex]
divide both sides by 3
x=10
[tex]y=2x+18[/tex]
[tex]y=2(10)+18=38[/tex]
Two numbers are 38 and 10