Question

The sum of two numbers is 9. Sum of their reciprocal is 1/2. find the number

Answer 1

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

Step-by-step explanation:

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Answer 2

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