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The sum of 2 number is …

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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, 8 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 8 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
    http://mycbseguide.com/examin8/

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