The sum of 2 numbers is 70. The difference of these numbers is 24. Write and solve a system of equat

Discussion in 'Calculator Requests' started by math_celebrity, Apr 18, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The sum of 2 numbers is 70. The difference of these numbers is 24. Write and solve a system of equations to determine the numbers.

    Let the two numbers be x and y. We have the following equations:
    1. x + y = 70
    2. x - y = 24
    Add (1) to (2):
    2x = 94

    Divide each side by 2
    x = 47

    Plug this into (1)
    47 + y = 70

    Subtract 47 from each side, we have:
    y = 23
     

Share This Page