SOLUTION: Pat is 17 years older than his son Patrick .In five years Pat will be twice as old as Patrick . How old are they now?

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Question 976548: Pat is 17 years older than his son Patrick .In five years Pat will be twice as old as Patrick . How old are they now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Pat's age now
Let +b+ = his son's age now
----------------------------
(1) +a+=+b+%2B+17+
(2) +a+%2B+5+=+2%2A%28+b+%2B+5+%29+
--------------------------
(2) +a+%2B+5+=+2b+%2B+10+
(2) +a+-+2b+=+5+
and
(1) +a+-+b+=+17+
Subtract (2) from (1)
---------------------
(1) +a+-+b+=+17+
(2) +-a+%2B+2b+=+-5+
---------------------
+b+=+12+
and
(1) +a+=+b+%2B+17+
(1) +a+=+12+%2B+17+
(1) +a+=+29+
---------------
Pat is 29
His son is 12
--------------
check:
(2) +a+%2B+5+=+2%2A%28+b+%2B+5+%29+
(2) +29+%2B+5+=+2%2A%28+12+%2B+5+%29+
(2) +34+=+2%2A17+
(2) +34+=+34+
OK