The difference of two natural numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers
Let the two natural numbers be x and y such that x > y.
Difference between the natural numbers = 5
Difference of their reciprocals = 110 (given)
Putting the value of x from equation (i) in equation (ii), we get
⇒y=5 or −10
As y is a natural number, therefore y = 5
Other natural number = y + 5 = 5 + 5 = 10
Thus, the two natural numbers are 5 and 10.