Math

the sum of two numbers is 30. the difference of their squares is 180. find the two numbers by elimination method

asked by Anonymous
  1. Let x = one number and y = second number

    Hint:
    Equation #1: x+y=30
    Equation #2: x^2 - y^2 = 180

    x = 30-y
    (30-y)^2-y^2=180
    y^2-60y+900-y^2=180
    -60y=-720
    y=12
    x = 30-12
    x=18

    posted by Jichu

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