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The sum of 2 number is 8 and the sum of their reciprocal is 8/15. Find the numbers.

Posted by Charvi Sangwan 5 years ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years ago

Let one number be X. The other number be Y.

GIVEN,

x+y=8

x=8-y ---------------(1)

1/x+1/y=8/15

BY SIMPLIFING 1/x+1/y=8/15 WE GET,

(x+y)/xy=8/15

FROM (1) WE GET,

8/8y-y²=8/15

y²-8y+15=0

(y - 3)(y - 5) = 0

y = 3 or 5

WE KNOW THAT x+y=8

When y=5, x=3

When y = 3, x = 5

0Thank You

ANSWER

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Posted by Hari Anand 6 months, 3 weeks ago

CBSE > Class 10 > Mathematics

0 answers

X-y=5

Posted by Kishan Thakur 1 month, 2 weeks ago

CBSE > Class 10 > Mathematics

1 answers

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Kanika . 1 month, 2 weeks ago

CBSE > Class 10 > Mathematics