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The product of two consecutive positive …

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The product of two consecutive positive integers is 306.we need to find the integer

    • Posted by Ketan Sagar 5 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Yogita Ingle 5 years, 8 months ago

    Let two consecutive numbers are x and (x + 1)

    A/C to question,
    product of x and (x + 1) = 306
    ⇒x(x + 1) = 306
    ⇒x² + x - 306 = 0
    ⇒ x² + 18x - 17x - 306 = 0
    ⇒x(x + 18) - 17(x + 18) = 0
    ⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

    Hence, numbers are x = 17 and (x +1) = 18

    0Thank You

    Tanu Kumari 5 years, 8 months ago

    17 and -18

    0Thank You

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