SOLUTION: today, the difference in age between a father and his son is 23 years. two years from now, the father's age will double the age of his son in two years' time.

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Question 1028172: today, the difference in age between a father and his son is 23 years. two years from now, the father's age will double the age of his son in two years' time.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The difference in their ages never changes
Let +a+ = father's age now
Let +b+ = son's age now
-------------------------
(1) +a+=+b+%2B+23+
(2) +a+%2B+2+=+2%2A%28+b+%2B+2+%29+
------------------------
Substitute (1) into (2)
(2) +b+%2B+23+%2B+2+=+2%2A%28+b+%2B+2+%29+
(2) +b+%2B+25+=+2b+%2B+4+
(2) +b+=+21+
and
(1) +a+=+b+%2B+23+
(1) +a+=+21+%2B+23+
(1) +a+=+44+
-------------------
The father is 44 now
The son is 21 now
-------------------
check:
(2) +a+%2B+2+=+2%2A%28+b+%2B+2+%29+
(2) +44+%2B+2+=+2%2A%28+21+%2B+2+%29+
(2) +46+=+2%2A23+
(2) +46+=+46+
OK