SOLUTION: The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present ages of Lewis and Brown.

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Question 722565: The present ages of Lewis and Brown are in the ratio 1:2.
Three years from now, the ages will be in the ratio 3:5. Find the present ages of Lewis and Brown.

Answer by god2012(113) About Me  (Show Source):
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Solution:
Let 'x' be the common factor in the ages of Lewis and Brown.
Age of Lewis is x years
Age of Brown is 2x years
After 3 years, their ages will be (x+3) and (2x+3) respectively.
(x+3)/(2x+3) = 3/5
5x+15 = 6x+9
x = 6 years
2x = 12 years
Age of Lewis = 6 years
Age of Brown = 12 years