The difference between two whole numbers is 60. If the ratio between them is 2 : 3, find the numbers?

140 and 80

180 and 120

170 and 110

None of these

Let's denote the two numbers as 2x and 3x, based on the ratio 2:3.

The difference between the numbers is:

3x - 2x = 60

x = 60

Now, find the numbers:

Smaller number = 2x = 2 × 60 = 120

Larger number = 3x = 3 × 60 = 180

The numbers are 180 and 120.