Posted by Jane on .
How do I set this up and how do I solve:
The sum of two numbers is 20 The difference between 3 times the larger number and twice the smaller number is 40. What is the larger number?

Math 
Reiny,
let the larger be x
let the smaller be 20x
Now just translate ...
three times the larger > 3x
twice the smaller > 2(20x)
that "difference" is 40
3x  2(20x) = 40
3x  40 + 2x = 40
5x = 80
x = 16
the larger is 16
(the smaller is 4) 
Math 
Jane,
Reiny, thank you so much. You broke it down so it was easy to understand.