SOLUTION: karen is twice as old as lori. three years from now, the sum of their ages will be 42. how aold is karen?

Question 1022256: karen is twice as old as lori. three years from now, the sum of their ages will be 42. how aold is karen?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let k = Karen's present age
let L = Lori's
:
Write an equation for each statement
:
Karen is twice as old as Lori.
k = 2L
three years from now, the sum of their ages will be 42.
(k+3) + (L+3) = 42
k + L + 6 = 42
k + L = 42 - 6
k + L = 36
Replace k with 2L from the 1st statement
2L + L = 36
3L = 36
L = 36/3
L = 12 yrs is Lori's age
:
how old is Karen?
k = 2(12)
k = 24 yrs is Karen's age
;
:
Check this in the statement
"three years from now, the sum of their ages will be 42."
(24 + 3) + (12 + 3) =
27 + 15 = 42
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