SOLUTION: Dan is twice as old as Mike Mike is 4 years younger than Ben Ben is 17 years younger than Dan How old is Ben?

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Question 1058507: Dan is twice as old as Mike
Mike is 4 years younger than Ben
Ben is 17 years younger than Dan
How old is Ben?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +d+=+2m+
(2) +m+=+b+-+4+
(3) +b+=+d+-+17+
----------------------
(3) +d+=+b+%2B+17+
Plug (2) and (3) into (1)
(1) +b+%2B+17+=+2%2A%28+b+-+4+%29+
(1) +b+%2B+17+=+2b+-+8+
(1) +b+=+25+
and
(2) +m+=+b+-+4+
(2) +m+=+25+-+4+
(2) +m+=+21+
and
(3) +d+=+b+%2B+17+
(3) +d+=+25+%2B+17+
(3) +d+=+42+
----------------------
Ben is 25
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check:
(1) +d+=+2m+
(1) +42+=+2%2A21+
(1) +42+=+42+
You can check (2) and (3)