SOLUTION: andy is twice as old as kate. in 6 years their ages with total 60. how old is each now?

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Question 546100: andy is twice as old as kate. in 6 years their ages with total 60. how old is each now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = Andy's age now
Let k = Kate's age now
given:
(1) +a+=+2k+
(2) +a+%2B+6+%2B+k+%2B+6+=+60+
-----------------------
(2) +a+%2B+k+=+60+-+12+
(2) +a+%2B+k+=+48+
Substitute (1) into (2)
(2) +2k+%2B+k+=+48+
(2) +3k+=+48+
(2) +k+=+16+
and, since
(1) +a+=+2k+
(1) +a+=+32+
Andy is 32 and Kate is 16