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12 August, 02:31

The difference between two integers is 32. The ratio of these integers is 1:3. Find these integers

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Answers (2)
  1. 12 August, 02:48
    0
    -16,-48

    Step-by-step explanation:

    Let the integers be x and y.

    The difference between two integers is 32.

    So,

    x-y=32 ... (1)

    Also, The ratio of these integers is 1:3.

    So,

    x/y=1/3 ... (2)

    Using ... (2),-16-y

    3x=y

    Substituting the value of y in ... (1) we get,

    x-3x=32

    or,-2x=32

    or, x=-16

    Now using the value of y in ... (1),

    -16-y=32

    or, y=-16-32=-48
  2. 12 August, 02:54
    0
    16 and 48

    Step-by-step explanation:

    let the 2 integers be x and 3x ← ratio 1 : 3

    Then

    3x - x = 32 ← difference between the integers

    2x = 32 (divide both sides by 2)

    x = 16

    and 3x = 3 * 16 = 48

    Since magnitude of difference is 32

    We can also express the difference as

    x - 3x = 32

    - 2x = 32 (divide both sides by - 2)

    x = - 16

    and 3x = 3 * - 16 = - 48

    The 2 integers are 16 and 48 or - 16 and - 48
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