Answer
The larger number is 16.
Work Step by Step
Let x= the larger number
y = the smaller number
The sum of the two numbers is 20.
$x+y=20 \rightarrow y=20-x$
The difference between three times the larger number and twice the smaller number is 40.
$3x-2y=40$
This gives:
$3x-2(20-x)=40$
$3x-40+2x=40$
$5x=80$
$x=16$
