SOLUTION: A mother is thrice as old as her son. Six years from now, she will be forty-four years more than one-third her son will then be. How old is the mother now?

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Question 709185: A mother is thrice as old as her son. Six years from now, she will be forty-four years more than one-third her son will then be. How old is the mother now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Mother's age now
Let +s+ = Son's age now
given:
(1) +m+=+3s+
(2) +m+%2B+6+=+%281%2F3%29%2A%28+s+%2B+6+%29+%2B+44+
----------------------------------------
(2) +3%2A%28+m+%2B+6+%29+=+s+%2B+6+%2B+3%2A44+
(2) +3m+%2B+18+=+s+%2B+6+%2B+132+
(2) +3m+-+s+=+138+-+18+
Substitute (1) into (2)
(2) +3%2A%283s%29+-+s+=+120+
(2) +8s+=+120+
(2) +s+=+15+
and, since
(1) +m+=+3s+
(1) +m+=+3%2A15+
(1) +m+=+45+
The Mother is 45 now
check:
(2) +m+%2B+6+=+%281%2F3%29%2A%28+s+%2B+6+%29+%2B+44+
(2) +45+%2B+6+=+%281%2F3%29%2A%28+15+%2B+6+%29+%2B+44+
(2) +51+=+%281%2F3%29%2A21+%2B+44+
(2) +7+=+%281%2F3%29%2A21+
(2) +21+=+21+
OK