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Find the two numbers whose sum …

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Find the two numbers whose sum is 27and product is 182

    • Posted by Akshay Nayak 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Jatin Sharma 4 years, 11 months ago

    Find the probality of getting a doublet in a throw of a pair of dice

    1Thank You

    Gaurav Seth 4 years, 11 months ago

    Let the first number be x and the second number is 27 - x.
    Therefore, their product = x (27 - x)
    It is given that the product of these numbers is 182.
    Therefore, x(27 - x) = 182
    ⇒ x2 – 27x + 182 = 0
    ⇒ x2 – 13x - 14x + 182 = 0
    ⇒ x(x - 13) -14(x - 13) = 0
    ⇒ (x - 13)(x -14) = 0
    Either x = -13 = 0 or x - 14 = 0
    ⇒ x = 13 or x = 14
    If first number = 13, then
    Other number = 27 - 13 = 14
    If first number = 14, then
    Other number = 27 - 14 = 13
    Therefore, the numbers are 13 and 14.

    2Thank You

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