SOLUTION: John is currently 4 times as old as his daughter, Linda. Six years from now, John will be 3 times as old as Linda. Calculate Linda's current age ?

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Question 1100049: John is currently 4 times as old as his daughter, Linda. Six years from now, John will be 3 times as old as Linda. Calculate Linda's current age ?
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
J = 4*L,            (1)

J + 6 = 3*(L+6).    (2)


Substitute (1) into (2). You will get

4*L + 6 = 3*(L+6)  ====>  4L +6 = 3L + 18  ====>  L = 18-6 = 12.


Answer.  Linda is 12 years old.  John is 4*12 = 48 years old.


There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
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Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
John is currently 4 times as old as his daughter, Linda. 


J = 4•L

Six years from now, John will be 3 times as old as Linda. 
(John + 6 = 3×(Linda + 6)



  J + 6 = 3•(L + 6)

So you have these two equations:

      J = 4•L
  J + 6 = 3•(L + 6)

Substitute 4•L from the first equation 
in place of J in the second equation:

4•L + 6 = 3•(L + 6)

You finish.

Edwin
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