two numbers have an average of 2100 and one number is $425 more than the other number. What are the

Discussion in 'Calculator Requests' started by math_celebrity, Nov 3, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    two numbers have an average of 2100 and one number is $425 more than the other number. What are the numbers

    Let the first number be x and the second number be y. We're given two equations:
    1. (x + y)/2 = 2100 (Average)
    2. y = x + 425
    Rearrange equation (1) by cross multiplying
    x + y = 2 * 2100
    x + y = 4200

    So we have our revised set of equations:
    1. x + y = 4200
    2. y = x + 425
    Substituting equation (2) into equation (1) for y, we get:
    x + (x + 425) = 4200

    Combining like terms, we get:
    2x + 425 = 4200

    Using our equation solver, we get:
    x = 1887.5

    Which means using equation (2), we get
    y = 1887.5 + 425
    y = 2312.5
     

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