SOLUTION: Aides and Michael have a combined age of 48. Three years ago Aiden was the double the age Michael is now. Determine Michael's current age. Please show working.

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Question 946063: Aides and Michael have a combined age of 48. Three years ago Aiden was the double the age Michael is now. Determine Michael's current age. Please show working.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +a+%2B+m+=+48+
(2) +a+-+3+=+2m+
------------------
(2) +a+-+2m+=+3+
Subtract (2) from (1)
(1) +a+%2B+m+=+48+
(2) +-a+%2B+2m+=+-3+
---------------------
+3m+=+45+
+m+=+15+
and, since
(1) +a+%2B+m+=+48+
(1) +a+%2B+15+=+48+
(1) +a+=+33+
Michael is 15
--------------
check:
(2) +a+-+3+=+2m+
(2) +33+-+3+=+2%2A15+
(2) +30+=+30+
OK