Question

8. The sum of two numbers is 9 and the sum of their reciprocals is 12. Find the numbers.​

Answer 1

Answer:

MARK A BRAINLIEST ANSWER PLZ....

Step-by-step explanation:

Let the first number is x.

Then second number=9−x.

Their reciprocals=x1,9−x1

Then according to the question

x1+9−x1=21

⇒x(9−x)9−x+x=21

⇒9x−x2=18

⇒x2−9x+18=0

⇒x2−6x−3x+18=0

⇒x(x−6)−3(x−6)=0

⇒(x−3)(x−6)=0

⇒x−3=0,x−6=0

⇒x=3,6

First number=3

∴ Second number =9−3=6.