algebra

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in 8 years rachel will be twice as old as warren. Today the product of their ages is 384. how old is rachel and how old is warred?

  • algebra -

    R + 8 = 2(W + 8)= 2W + 16
    R*W = 384

    Solve those two equations in two unknowns.

    R = 2W + 8
    (2W + 8)*W = 384
    2W^2 + 8W -384 = 0
    W^2 + 4W -192 = 0
    (W + 16)(W - 12)= 0
    W = 12 is the positive-value solution. Ignore the negative solution.
    R = 32

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