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18 August, 12:05

The product of two whole numbers is 378 and their sum is 41. What are the two numbers?

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Answers (2)
  1. 18 August, 12:18
    0
    Step-by-step explanation:

    Let the number be x and y

    xy = 378 ... (1)

    x + y = 41 ... (2)

    Making y as subject in (2)

    y = 41 - x ... (3)

    Substitute it in (1)

    x (41 - x) = 378

    41x - x² = 378

    x² - 41x + 378 = 0

    x² - 27x - 14x + 378 = 0

    (x² - 27x) - (14x - 378) = 0

    x (x - 27) - 14 (x - 27) = 0

    (x - 14) (x - 27) = 0

    x - 14 = 0 or x - 27 = 0

    x = 14 or x = 27

    And y = 41 - x

    When x = 14

    y = 41 - 14 = 27

    y = 27

    When x = 27

    y = 41 - 27 = 14

    y = 14
  2. 18 August, 13:02
    0
    14 and 27

    Step-by-step explanation:

    14 x 27 = 378

    14 + 27 = 41
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