The difference between two positive integers is 30. The ratio of these integers is 2:5. Find the integers.

Solution:

Given that the ratio of the integers is 2:5.

Let 2x be the first integer and 5x be the second integer.

The difference between two positive integers is 30.

So 5x – 2x = 30

=>3x = 30

=> x = 30/3 = 10

So 2x = 20 and 5x = 50.

So the integers are 20 and 50.

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