SOLUTION: The sum of jane's age and Tarzan's age is 34 Years. Five years ago the sum of twice jane's age and 3 times Tarzan's age was 61 years. What are their present age?

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Question 804478: The sum of jane's age and Tarzan's age is 34 Years. Five years ago the sum of twice jane's age and 3 times Tarzan's age was 61 years. What are their present age?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jane's age now
Let +t+ = Tarzan's age now
-------------------------
(1) +j+%2B+t+=+34+
(2) +2%2A%28+j+-+5+%29+%2B+3%2A%28+t+-+5+%29+=+61+
-------------------------------
(2) +2j+-+10+%2B+3t+-+15+=+61+
(2) +2j+%2B+3t+=+86+
------------------
Multiply both sides of (1) by +2+
and subtract (1) from (2)
(2) +2j+%2B+3t+=+86+
(1) +-2j+-+2t+=+-68+
+t+=+18+
and
(1) +j+%2B+18+=+34+
(1) +j+=+16+
Tarzan is 18 and Jane is 16
check:
(2) +2%2A%28+j+-+5+%29+%2B+3%2A%28+t+-+5+%29+=+61+
(2) +2%2A%28+16+-+5+%29+%2B+3%2A%28+18+-+5+%29+=+61+
(2) +2%2A11+%2B+3%2A13+=+61+
(2) +22+%2B+39+=+61+
(2) +61+=+61+
OK