SOLUTION: A mom is 5 times older then here daughter. 3 years before she was 8 times older. How old is the mother and the daughter?

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Question 845923: A mom is 5 times older then here daughter. 3 years before she was 8 times older. How old is the mother and the daughter?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = the mom's age now
Let +d+ = the daughter's age now
----------------------
(1)+m+=+5d+
(2)+m+-+3+=+8%2A%28+d+-+3+%29+
-------------------------------
Substitute (1) into (2)
(2)+5d+-+3+=+8%2A%28+d+-+3+%29+
(2)+5d+-+3+=+8d+-+24+
(2) +3d+=+24+-+3+
(2) +3d+=+21+
(2) +d+=+7+
and
(1)+m+=+5d+
(1)+m+=+5%2A7+
(1)+m+=+35+
The mother is 35
The daughter is 7
check:
(2)+m+-+3+=+8%2A%28+d+-+3+%29+
(2)+35+-+3+=+8%2A%28+7+-+3+%29+
(2) +32+=+8%2A4+
(2) +32+=+32+
OK