The difference between two positive numbers is 40 and the ratio of these
integers is 1 : 3. Find the integers.

Solution:

Let the two positive integers be: x and 3x
According to the question:
3x - x = 40
2x = 40
x = 40 ÷ 2
x = 20

So, the two numbers are:
x = 20 and 3x = 60