SOLUTION: The mother is 6 years more than three times older than her son. Four years ago, she was 5 times older as her son. How old is her son.

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Question 657990: The mother is 6 years more than three times older than her son. Four years ago, she was 5 times older as her son. How old is her son.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Mother's age no
Let +s+ = Son's age now
given:
(1) +m+=+3s+%2B+6+
(2) +m+-+4+=+5%2A%28+s+-+4+%29+
-----------------------
Substitute (1) into (2)
(2) +3s+%2B+6+-+4+=+5%2A%28+s+-+4+%29+
(2) +3s+%2B+2+=+5s+-+20+
(2) +2s+=+20+%2B+2+
(2) +2s+=+22+
(2) +s+=+11+
Son is 11
check:
(1) +m+=+3%2A11+%2B+6+
(1) +m+=+39+
and
(2) +39+-+4+=+5%2A%28+s+-+4+%29+
(2) +35+=+5s+-+20+
(2) +5s+=+55+
(2) +s+=+11+
OK