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The sum of two numbers is 9 and the sum of their resiprocal is 1/2 . Find the numbers

Posted by Payal Sanjay 5 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 2 months ago

The sum of two numbers is 9 and the sum of their reciprocal is 1/2.

Let the numbers be x and y respectively.

Sum of numbers is 9.

⇒ x + y = 9.... (i)

⇒ y = 9 - x .... (ii)

Sum of reciprocals is 1/2.

⇒ .... (iii)

Now, on solving (iii),

Putting the value of (i) and (ii) here, we get -

Hence, the required numbers are 6 and 3.

2Thank You

Mehak Parashar 5 years, 2 months ago

By not going to solve whole we can say that 3+6=9 and by its reciprocal we are getting 1/2

1Thank You

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Don't post personal information, mobile numbers and other details.
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CBSE > Class 10 > Mathematics