Question

The difference of two numbers is 5 and the difference of their reciprocals is 1/10. Find the numbers. PLS DON'T SPAM ELSE IT WILL BE REPORTED.

Answer 1

Answer:

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.

Step-by-step explanation:

Answer 2

Answer:

$x - y = 5............(1)$

$\frac{1}{x} - \frac{1}{y} = \frac{1}{10}$

$x - y = 10$

x-y=5

x-y=10

y=5

x-5=10

x=15