SOLUTION: 5 years ago Kevin was 3 times Tami's age. Now he is twice as old as Tami. How old are both of them now?

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Question 1156251: 5 years ago Kevin was 3 times Tami's age. Now he is twice as old as Tami. How old are both of them now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Kevin's age now
Let +b+ = Tami's age now
-----------------------------------
(1) +a+-+5+=+3%2A%28+b+-+5+%29+
(2) +a+=+2b+
-----------------------------------
Plug (2) into (1)
(1) +2b+-+5+=+3%2A%28+b+-+5+%29+
(1) +2b+-+5+=+3b+-+15+
(1) +b+=+10+
and
(2) +a+=+2b+
(2) +a+=+2%2A10+
(2) +a+=+20+
Kevin is 20
Tami is 10
----------------------
check:
(1) +a+-+5+=+3%2A%28+b+-+5+%29+
(1) +20+-+5+=+3%2A%28+10+-+5+%29+
(1) +15+=+3%2A5+
(1) +15+=+15+
OK