Ask Question
10 April, 14:55

The sum of two numbers is - 36. One number is 106 less than the other. Find the numbers.

+5
Answers (2)
  1. 10 April, 15:31
    0
    -71 and

    35

    Step-by-step explanation:

    Let the numbers be x and y

    x + y = - 36

    x = y - 106

    Substitute y - 106 or x in the first equation

    We have

    x + y = - 36

    y - 106 + y = - 36

    y + y - 106 = - 36

    2y - 106 = - 36

    Add 106 to both sides to eliminate - 106 on the left side

    2y - 106 + 106 = - 36 + 106

    2y = 70

    Divide both sides by 2

    2y/2 = 70/2

    y = 35

    Substitute 35 for y in either equation to get x

    Using the second equation, we have

    x = y - 106

    x = 35 - 106

    x = - 71

    The numbers are 35 and - 71

    Check

    x + y = - 36

    -71 + 35 = - 36

    -36 = - 36
  2. 10 April, 16:31
    0
    71 and - 35

    Step-by-step explanation:

    so with this we can set up a system of equations

    x+y=36

    and

    x-y=106

    now we can add these equations together to eliminate y

    x+y=36 plus

    x-y=106 equals

    2x=142

    divide both sides by 2

    x=71

    now we can plug that in

    71+y=36

    subtract 71 from both sides

    y=-35
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The sum of two numbers is - 36. One number is 106 less than the other. Find the numbers. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers