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The sum of 2 no. is …

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The sum of 2 no. is 9 . the sum of their reciprocal is 1/2 . Find the numbers.

Posted by Muskan Dixit 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Muskan Dixit 6 years, 10 months ago

thanks a lot dear

0Thank You

Yogita Ingle 6 years, 10 months ago

Given that the sum of two numbers is 9 Let the two numbers be x and 9-x
By the given hypothesis, we have
1/x + 1/9-x = 1/2
(9 - x + x)/x(9-x) = 1/2
18 = 9x - x²
x² - 9x + 18 = 0
(x - 6)(x - 3) = 0
x = 6 or x = 3
Therefore the numbers are 3 and 6.

2Thank You

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