SOLUTION: Jose is 5 years older than Tess. Three years ago, he was twice as old as Tess. How old is Tess now?

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Question 713077: Jose is 5 years older than Tess. Three years ago, he was twice as old as Tess. How old is Tess now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Tess's age now
Let +j+ =Jose's age now
given:
+j+=+t+%2B+5+
+j+-+3+=2%2A%28+t+-+3+%29+
------------------
By substitution:
+t+%2B+5+-+3+=+2%2A%28+t+-+3+%29+
+t+%2B+2+=+2t+-+6+
+t+=+8+
and, since
+j+=+t+%2B+5+
+j+=+8+%2B+5+
+j+=+13+
-----------
Tess is 8 now
check:
+j+-+3+=2%2A%28+t+-+3+%29+
+13+-+3+=2%2A%28+8+-+3+%29+
+10+=+2%2A5+
+10+=+10+
OK