Question

Difference of two numbers is one. Difference
of their reciprocals is 120. Which are the num-
bers ?​

Answer 1

Step-by-step explanation:

Let x and y be two numbers and x>y

then, Difference of two numbers isx−y=5 .......(1)

Differences of their reciprocals is

y

1

−

x

1

=

10

1

⇒

xy

x−y

=

10

1

⇒(x−y)=

10

xy

....(2)

Substitute the value of x−y=5 in eqn(2) we get

⇒5=

10

xy

or xy=50

⇒y=

x

50

.....(3)

Substituting the value of y=

x

50

in eqn(1) we get

x−(

x

50

)=5

⇒x

2

−5x−50=0

(x−10)(x+5)=0

x=10 x=−5

hope it will help you...

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