SOLUTION: Jack is 2 times as old as Lacy. 8 years from now the sum of their ages will be 46 . How old are they now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jack is 2 times as old as Lacy. 8 years from now the sum of their ages will be 46 . How old are they now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 661430: Jack is 2 times as old as Lacy. 8 years from now the sum of their ages will be 46 . How old are they now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jack is 2 times as old as Lacy. 8 years from now the sum of their ages will be 46 . How old are they now?
-----------
Equation:
J = 2L
(J+8) + (L+8) = 46
---
Substitute for "J" and solve for "L":
(2L+8) + (L+8) = 46
-----
3L + 16 = 46
3L = 30
L = 10 (Lacy's age now)
------
Solve for "J":
J = 2L = 20 (Jack's age now)
=================
Cheers,
Stan H.
=================