# 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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