SOLUTION: Katie is twice as old as Lana. Three years ago the sum of their ages was 48. How old is each now?

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Question 1131422: Katie is twice as old as Lana. Three years ago the sum of their ages was 48. How old is each now?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
K = 2 * L
we can write it like this:
K = 2L We'll use this value for K below
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K-3 + L-3 = 48
2L-3 + L-3 = 48
3L - 6 = 48
3L = 54
L = 18
Lana is 18 and Katie is 2 * 18 = 36
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Three years ago:
18 - 3 + 36 - 3 = 48
15 + 33 = 48 Correct, you have the correct answer.