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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 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 10 months 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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CBSE > Class 10 > Mathematics