SOLUTION: Bill is 29 years older than his daughter Jane. In 15 years time their age will be such that Bill will be twice as old as Jane. How old is Bill now?

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Question 1020886: Bill is 29 years older than his daughter Jane. In 15 years time their age will be such that Bill will be twice as old as Jane. How old is Bill now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = Bill's age now
Let +j+ = Jane's age now
------------------------
(1) +b+=+j+%2B+29+
(2) +b+%2B+15+=+2%2A%28+j+%2B+15+%29+
-------------------------
(2) +b+%2B+15+=+2j+%2B+30+
(2) +b+-+2j+=+15+
-----------------------
(1) +b+-+j+=+29+
Subtract (2) from (1)
(1) +b+-+j+=+29+
(2) +-b+%2B+2j+=+-15+
--------------------
+j+=+14+
and
(1) +b+=+j+%2B+29+
(1) +b+=14+%2B+29+
(1) +b+=+43+
------------------
Bill is 43 now
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check:
(2) +b+%2B+15+=+2%2A%28+j+%2B+15+%29+
(2) +43+%2B+15+=+2%2A%2814+%2B+15+%29+
(2) +58+=+2%2A29+
(2) +58+=+58+