SOLUTION: Ben is 3 times as old as Kevin and is also 10 years older than Kevin. How old is Ben?

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Question 982301: Ben is 3 times as old as Kevin and is also 10 years older than Kevin.
How old is Ben?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = Ben's age
Let +k+ = Kevin's age
-----------------------
(1) +b+=+3k+
(2) +b+=+k+%2B+10+
--------------------
Substitute (1) into (2)
(2) +3k+=+k+%2B+10+
(2) +2k+=+10+
(2) +k+=+5+
and
(1) +b+=+3k+
(1) +b+=+3%2A5+
(1) +b+=+15+
----------------
Ben is 15
----------
check:
(2) +b+=+k+%2B+10+
(2) +15+=+5+%2B+10+
(2) +15+=+15+
OK