Question

o
12cm
13cm
oc DR
R
5cm
9x3=27
Answer the following questions.
9
20
25. The sum of two natural numbers is 9 and the sum of their reciprocals is
Find the numbers.
OR
The perimeter and area of a rectangular play ground are 80m and 384m
respectively. Find the length and breadth of the play ground.
Sino
cos e​

Answer 1

⇒ 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

hope it will help you..,....