SOLUTION: bens father was 33 when Ben was born.8 years ago Bens father was twice as old as Ben is now. How old is Ben????

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Question 584460: bens father was 33 when Ben was born.8 years ago Bens father was twice as old as Ben is now. How old is Ben????
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Ben's age now
Let +b+ = Ben's Father's age now
given:
(1) +b+-+8+=+2a+
The difference in their ages never
changes. At Ben's birth it was 33 yrs, so:
(2) +b+-+a+=+33+
---------------
(1) +b+-+2a+=+8+
Subtract (1) from (2)
(2) +b+-+a+=+33+
(1) +-b+%2B+2a+=+-8+
+a+=+25+
and, since
(1) +b+-+2a+=+8+
(1) +b+-+2%2A25+=+8+
(1) +b+=+50+%2B+8+
(1) +b+=+58+
Ben is 25