SOLUTION: Mother was three times the age of her daughter five years ago, after five year, mother will be twice as old as her daughter. how old is the daughter today?

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Question 773473: Mother was three times the age of her daughter five years ago, after five year, mother will be twice as old as her daughter. how old is the daughter today?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = mother's age now
Let +d+ = daughter's age now
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(1) +m+-+5+=+3%2A%28+d+-+5+%29+
(2) +m+%2B+5+=+2%2A%28+d+%2B+5+%29+
------------------------
(1) +m+-+5+=+3d+-+15+
(1) +m+-+3d+=+-10+
and
(2) +m+%2B+5+=+2d+%2B+10+
(2) +m+-+2d+=+5+
-----------------
Subtract (1) from (2)
(2) +m+-+2d+=+5+
(1) +-m+%2B+3d+=+10+
+d+=+15+
and
(2) +m+-+2d+=+5+
(2) +m+-+2%2A15+=+5+
(2) +m+=+5+%2B+30+
(2) +m+=+35+
Mother is 35, daughter is 15
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Check:
5 yrs ago, mother was 30 and daughter
was 10. Mother was 3 times her age
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In 5 yrs, mother will be 40
Daughter will be 20
Mother will be twice daughter's age
OK