The difference between two positive integers is 4 and ......

Hi guys, I have a question from my workbook which i don't understand and know how to do.

Question: The difference between two positive integers is 4 and the difference between this reciprocals is (1)/(48). Find the integers.

Ok so I have form this two equations,

Let x be first integer

Let y be second integer

x - y = 4

(1)/(x) - (1)/(y) = (1)/(48)

But I don't know how to continue from there, I don't even know whether my equation is the right one.

Please do help