One number is 20 more than two times another. Find the two numbers if their sum is 110.

Answer:
30, 80
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Then, the other number is [tex]2x+20[/tex]. The sum is 110, so
[tex]x+(2x+20)=110.[/tex]
Simplifying gives
[tex]3x+20=110[/tex].
Subtracting 20 from both sides gives
[tex]3x=90[/tex].
Dividing by 3 gives
[tex]x=30[/tex].
The smaller number is 30 and the larger number is 2(30)+20=80.