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The sum of two consecutive number …

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The sum of two consecutive number is 11and their reciprocals is 11/28. Find the number?

    • Posted by @Madhavi Paiwal 6 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    @Madhavi Paiwal 6 years, 3 months ago

    Ok

    0Thank You

    Gaurav Seth 6 years, 3 months ago

    Given that -

    The sum of two numbers is 11 and the sum of their reciprocal is 11/28.

    Let the numbers be x and y respectively.

    Sum of numbers is 11.

    ⇒ x + y = 11.... (i)

    ⇒ y = 11 - x .... (ii)

    Sum of reciprocals is 11/28.

    ⇒ .... (iii)

    Now, on solving (iii),

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

    Hence, the required numbers are 7 and 4.

    1Thank You

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