SOLUTION: A man is three times a girls age. In 21 years, he will only be twice her age. How old are the man and woman?

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Question 841428: A man is three times a girls age. In 21 years, he will only be twice her age. How old are the man and woman?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
m = age of the man (current age)

g = age of the girl (current age)


"A man is three times a girls age" ----> m+=+3g


"In 21 years, he will only be twice her age" ----> m%2B21+=+2%28g%2B21%29

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m%2B21+=+2%28g%2B21%29

3g%2B21+=+2%28g%2B21%29

3g%2B21+=+2g%2B42

3g+=+2g%2B42-21

3g-2g=42-21

g=21

The girl is currently 21 years old.

m+=+3g

m+=+3%2821%29

m+=+63

The man is currently 63 years old.