SOLUTION: Juan is 4 times older as Jan. Twelve years from now Juan will be 6 times as old as Jan was tree years ago. How old are they now?

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Question 1051294: Juan is 4 times older as Jan. Twelve years from now Juan will be
6 times as old as Jan was tree years ago. How old are they now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Juan's age now
Let +b+ = Jan's age now
--------------------------
(1) +a+=+4b+
(2) +a+%2B+12+=+6%2A%28+b+-+3+%29+
----------------------------
(2) +a+%2B+12+=+6b+-+18+
(2) +a+=+6b+-+30+
Plug (1) into (2)
(2) +4b+=+6b+-+30+
(2) +2b+=+30+
(2) +b+=+15+
and
(1) +a+=+4b+
(1) +a+=+4%2A15+
(1) +a+=+60+
Juan is 60
jan is 15
------------------
check:
(2) +a+%2B+12+=+6%2A%28+b+-+3+%29+
(2) +60+%2B+12+=+6%2A%28+15+-+3+%29+
(2) +72+=+6%2A12+
(2) +72+=+72+
OK