SOLUTION: Kevin is 6 years older than Timothy, and 4 years ago Kevin was twice as old as Timothy. Find their present ages.

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Question 1024611: Kevin is 6 years older than Timothy, and 4 years ago Kevin was twice as old as Timothy. Find their present ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = Kevin's age now
Let +t+ = Timothy's age now
---------------------------
(1) +k+=+t+%2B+6+
(2) +k+-+4+=+2%2A%28+t+-+4+%29+
----------------------
(2) +k+-+4+=+2t+-+8+
Substitute (1) into (2)
(2) +t+%2B+6+-+4+=+2t+-+8+
(2) +t+%2B+2+=+2t+-+8+
(2) +t+=+10+
and
(1) +k+=+t+%2B+6+
(1) +k+=+10+%2B+6+
(1) +k+=+16+
-------------------
Kevin is 16
Timothy is 10
------------
check:
4 yrs ago Kevin was 12
4 yrs ago Timothy was 6
Kevin was twice his age
OK