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divide 24 in three parts such …

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divide 24 in three parts such that they are in AP and their product is 440

    • Posted by Mehul Kedia 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 10 months ago

    The parts are in AP, let the terms be a-d, a and a+d

    where the first term =a-d

    the common difference =d

    Given, sum =24cm

    a-d + a+a +d = 24cm

    3a = 24cm

    a =8cm

    Given: Product of the terms = 440

    (a-d) (a) (a+d) = 440

    (8-d) (8+d) (8) =440

    (8-d)(8+d) = 55

    82 -d2 = 55

    64 - d2 = 55

    d2 = 64-55

    d2 = 9

    d = 3 or -3

    AP- a-d , a, a+d

    so the AP is 8-3, 8, 8+3 or 8+3,8,8-3

    AP = 5, 8, 11 or 11, 8, 5

    1Thank You

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