Question

The difference of two natural numbers is 3 and the difference of their reciprocals is $\frac{3}{28}$

Answer 1

Let one number be x and the other number be y.
According to question,
x-y=3 or x=y+3
Also,

Now putting the values of x in the above equation we get,

We need to discard the value of y = -7 because y is a natural number. So the value of y = 4
Therefore x = y+3=7
Hence the numbers are 4 and 7.