the sum of two numbers is 38 and their difference is 10 find the numbers​

Question

the sum of two numbers is 38 and their difference is 10 find the numbers​

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Acacia 4 years 2021-08-12T21:59:46+00:00 2 Answers 23 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-12T22:01:12+00:00
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    Answer:

    I believe the two numbers are 14 and 24

  2. kimchi2
    0
    2021-08-12T22:01:16+00:00
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    Answer:

    Those numbers are 14 and 24.

    Step-by-step explanation:

    You can solve this pretty quickly by taking those two facts and combining them:

    a + b = 38

    a – b = 10

    Let’s solve the second one for a:

    a = 10 + b

    Now we can substitute that into the first one:

    a + b = 38

    (10 + b) + b = 38

    2b + 10 = 38

    2b = 28

    b = 14

    To find a, we can plug that back into one of the original equations:

    a + b = 38

    a + 14 = 38

    a = 24

    We can also test our answer by plugging the results into the other given equation and see if we get the same value:

    a – b = 10

    24 – 14 = 10

    10 = 10

    So we know our answer is correct.

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