SOLUTION: If karen were two years older than she is she would be twice as old as larry who is eight years younger than she. how old is each one?

Algebra.Com
Question 180494: If karen were two years older than she is she would be twice as old as larry who is eight years younger than she. how old is each one?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
If karen were two years older than she is, she would be twice as old as larry,
who is eight years younger than she. how old is each one?
:
K = Karen's age now
L = Larry's age now
:
K + 2 = 2L
but it says: L = (K-8), substitute (k-8) for L
K + 2 = 2(K - 8)
:
K + 2 = 2k - 16
:
k - 2k = -16 - 2
:
-k = -18
:
K = 18 is Karen's age now
then
18 - 8 = 10 is Larry's age now
;
;
Check solution in 1st equation
18 + 2 = 2(10)

RELATED QUESTIONS

larry is 8 years older than his sister. in 3 years, he will be twice as old as she is... (answered by mananth)
Larry is 8 years older than his sister. In 3 years, he will be twice as old as she is... (answered by Alan3354)
Larry is 8 years older than his sister. In 3 years, he will be twice as old as she is... (answered by jorel1380,MathTherapy,josgarithmetic)
shaun is 9 years older than his younger sister Mary. In 7 years time, he will be twice as (answered by lynnlo)
How do I solve by using two equations in two variables? Larry is 8 years older than... (answered by ptaylor)
Frank is eight years older than his sister, Amy. In three years he will be twice as old (answered by josgarithmetic,ikleyn)
Jack is eight years older than his sister. In three years he will be twice as old as she... (answered by TimothyLamb)
Frank is eight years older than his sister. In three years he will be twice as old as she (answered by greenestamps)
Jim is twice as old as Karen. Eight years from now, Jim will be twenty years older than... (answered by jorel1380)