Asum of money is divided between isha and roger in the ratio 2: 3. if isha's share is $600, find roger's share

There are two solutions to this problem, either:
 1: Isha has the bigger part (:3)
 2: or Isha has the smaller part (2:)

1.
Isha = 3x = 600
solve for x:
x = 600/3 = 200
Then Roger has 2x = 2*200 = 400
600:400
6:4
3:2
the ratio complies, Isha has 600 and Roger 400

2.
Isha = 2x = 600
x = 300
Roger = 3x = 3*300 = 900
600:900
6:9
2:3
the ratio complies, Isha has 600 and Roger 900