SOLUTION: jack is twice as old as lacy.in three years the sum of their ages will be fifty four. how old are they now

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Question 512428: jack is twice as old as lacy.in three years the sum of their ages will be fifty four. how old are they now
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let j = Jack's age now
Let y = Lacy's age now
given:
(1) +j+=+2y+
(2) +j+%2B+3+%2B+y+%2B+3+=+54+
---------------------
(2) +j+%2B+y+=+48+
Substitute (1) into (2)
(2) +2y+%2B+y+=+48+
(2) +3y+=+48+
(2) +y+=+16+
and
(1) +j+=+2y+
(1) +j+=+32+
Jack is 32 and Lacy is 16