1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the numbers.

Question

1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the
numbers.

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Tryphena 5 years 2021-07-24T15:53:39+00:00 1 Answers 51 views 0

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  1. Maris
    0
    2021-07-24T15:55:18+00:00
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    Answer:

    One number is 5 and the other is 1.

    Step-by-step explanation:

    Let the numbers be x and y.  Then x + y = 6 and x – y = 4.  We must solve this system of equations:

    x + y = 6

    x – y = 4

    Combining these equations temporarily eliminates y:

    x + y = 6

    x – y = 4

    ————–

    2x     = 10

    Then x = 5.  Since x – y = 4,

    5 – y = 4

    and so y must be 1.

    The solution is (5, 1).  One number is 5 and the other is 1.

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