SOLUTION: Today, Jen is three times older that Dave. Eight years before today, Jen was five times older that Dave. Calculate Jen`s age today.

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Question 728969: Today, Jen is three times older that Dave. Eight years before today, Jen was five times older that Dave. Calculate Jen`s age today.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jen's age now
Let +d+ = Dave's age now
given:
+j+=+3d+
+j+-+8+=+5%2A%28+d+-+8+%29+
-------------------
+j+-+8+=+5d+-+40+
By substitution,
+3d+-+8+=+5d+-+40+
+2d+=+32+
+d+=+16+
and
+j+=+3d+
+j+=+3%2A16+
+j+=+48+
Jen is 48