Mathematics

Question

the sum of two numbers is 13 and there difference is 5 what are the 2 numbers?

2 Answer

  • x + y = 13
    x - y = 5

    x = (13 - y)

    (13-y) - y = 5

    13 - 2y = 5
    -2y = -8
    y = 4

    x - 4 = 5
    x = 9

    x=9, y = 4
  • x+y=13
    x-y=5
    we can addd these 2 equations to eliminate y

    2x+0y=18
    2x=18
    divide both sides by 2
    x=9

    sub back
    x+y=13
    9+y=13
    minus 9 both sides
    y=4

    the 2 numbers are 9 and 4
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