Question

The sum of 2 number is 9 and sum of their receiprocal is 1\2.Find the number.​

Answer 1

Answer:

ANSWER

⇒  Let one number be x, then other number will be 9−x

According to the question,

⇒    

x

1

​  

+  

9−x

1

​  

=  

2

1

​  

 

⇒    

x(9−x)

9−x+x

​  

=  

2

1

​  

 

⇒    

9x−x  

2

 

9

​  

=  

2

1

​  

 

⇒  2(9)=9x−x  

2

 

⇒  18−=9x−x  

2

 

⇒  x  

2

−9x+18=0

⇒  x  

2

−6x−3x+18=0

⇒  x(x−6)−3(x−6)=0$

⇒  (x−6)(x−3)=0

⇒  x−6=0  and x−3=0

∴   x=6 and x=3

⇒  One number is 6 and other number is 3

⇒  The sum of squares of the numbers =(6)  

2

+(3)  

2

=36+9=45

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Step-by-step explanation: