please solve the fourth word problem

Discussion in 'Calculator Requests' started by barbie, Feb 28, 2017.

  1. barbie

    barbie New Member

    The sum of three numbers is
    105
    . The first number is
    5
    less than the second. The third number is
    3
    times the second. What are the numbers?
     

  2. math_celebrity

    math_celebrity Administrator Staff Member

    Let x be the first number, y be the second number, and z be the number. We have the following equations:
    1. x + y + z = 305
    2. x = y - 5
    3. z = 3y
    Substitute (2) and (3) into (1)
    (y - 5) + y + (3y) = 305

    Combine like terms:
    5y - 5 = 305

    Use our equation solver
    y = 62

    Substitute y = 62 into (3)
    z = 3(62)
    z = 186

    x = (62) - 5
    x = 57
     

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