Question

The difference of two natural numbers is 5 and the difference of their reciprocal is 5/14.

find the numbers​

Answer 1

Let the two numbers be x and x - 5 .  

According to the question.

⇒ x(x-5) = 50

⇒ x2 - 5x - 50 = 0  

⇒  x2 - 10x + 5x - 50 = 0  

⇒ x (x - 10) + 5 (x - 10) = 0

⇒  (x+5) (x-10) = 0

⇒   (x+5) (x-10) = 0  

⇒ x =  -5 or 10  

⇒ x = 10 (x = -5 , rejected)  

∴ Two numbers are 10 and (10-5) = 5.  

Answer 2

Answer:

14

Explanation:

here given

difference of two natural number is 5

reciprocal of number is 5/14 is 14/5

then 5×14/5

=14