SOLUTION: katie is 3 times as old as her son, after fifteen years she will be twice as old as her son. what will be katie age?

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Question 698560: katie is 3 times as old as her son, after fifteen years she will be twice as old as her son. what will be katie age?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = Katies's age now
Let +s+ = Son's age now
+k+%2B+15+ = Katie's age in 15 yrs
+s+%2B+15+ = Son's age in 15 yrs
------------------------
given:
(1) +k+=+3s+
(2) +k+%2B+15+=+2%2A%28+s+%2B+15+%29+
-------------------------
Substitute (1) into (2)
(2) +3s+%2B+15+=+2%2A%28+s+%2B+15+%29+
(2) +3s+%2B+15+=+2s+%2B+30+
(2) +s+=+30+-+15+
(2) +s+=+15+
and
(1) +k+=+3s+
(1) +k+=+3%2A15+
(1) +k+=+45+
Katie is 45, and in 15 yrs, she will be 60
check:
(2) +k+%2B+15+=+2%2A%28+s+%2B+15+%29+
(2) +45+%2B+15+=+2%2A%28+15+%2B+15+%29+
(2) +60+=+2%2A30+
(2) +60+=+60+
OK