Question

Sum of two natural nos is 9 and difference of their reciprocal is 2/15. Find the numbers.

Answer 1

Answer:

Let 1st no. be x and 2nd be 8−x.

By the given condition,

x

1

−

8−x

1

=

15

2

⇒

x(8−x)

8−x−x

=

15

2

⇒

8x−x

2

8−2x

=

15

2

⇒120−30x=16x−2x

2

2x

2

−46x+120=0

x

2

−23x+60=0

x

2

−20x−3x+60=0

x(x−20)−3(x−20)=0

(x−3)(x−20)=0

x=3 or x=20 not possible

1

st

no. =3 and 2

nd

no. =8−3=5.