SOLUTION: carla is four times her daughter's age. in thirty years her daughter will be half as old as carla. how old is carla and her daughter now?

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Question 321615: carla is four times her daughter's age. in thirty years her daughter will be half as old as carla. how old is carla and her daughter now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c = Carla's age now
Let d = daughter's age now
given:
c+=+4d
d+%2B+30+=+%281%2F2%29%2A%28c+%2B+30%29
Multiply both sides by 2
2d+%2B+60+=+c+%2B+30
By substitution:
2d+%2B+60+=+4d+%2B+30
2d+=+60+-+30
2d+=+30
d+=+15
and
c+=+4d
c+=+4%2A15
c+=+60
Carla is 60 and her daughter is 15
check:
d+%2B+30+=+%281%2F2%29%2A%28c+%2B+30%29
15+%2B+30+=+%281%2F2%29%2A%2860+%2B+30%29
45+=+%281%2F2%29%2A90
45+=+45
OK