Question

sum of the two natural numbers is 8/8 and their difference of their reciprocal is 2/15 .find the number​

Answer 1

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Answer 2

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.