SOLUTION: Mrs. taylor is 4 times as old as her son. in 20 years, mrs. taylor will be only twice as old as her son . how old is each now?

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Question 598926: Mrs. taylor is 4 times as old as her son. in 20 years, mrs. taylor will be only twice as old as her son . how old is each now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Mrs. Taylor's age now
Let +s+ = her Son's age now
given:
(1) +t+=+4s+
(2) +t+%2B+20+=+2%2A%28+s+%2B+20+%29+
-------------
(2) +t+%2B+20+=+2s+%2B+40+
(2) +t+=+2s+%2B+20+
Substitute (1) into (2)
(2) +4s+=+2s+%2B+20+
(2) +2s+=+20+
(2) +s+=+10+
and
(1) +t+=+4s+
(1) +t+=+4%2A10+
(1) +t+=+40+
Mrs. Taylor is 40
Her Son is 10