SOLUTION: Harry is now 3 times as old as Louis was when Harry was as old as Louis is now. When Louis is as old as Harry is now, they will be 28 together. How old are Harry and Louis today?

Question 1181856: Harry is now 3 times as old as Louis was when Harry was as old as Louis is now. When Louis is as old as Harry is now, they will be 28 together. How old are Harry and Louis today?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Harry's age now = H
Louis's age now = L

H = 3(L - (H - L))
L + (H - L) + H + (H - L) = 28

H = 3(L - H + L)
3H - L = 28

H = 3(2L - H)
3H - L = 28

H = 6L - 3H
3H - L = 28

4H - 6L = 0
3H - L = 28

4H - 6L = 0
-6(3H - L) = -6(28)

4H - 6L = 0
-18H + 6L = -168

-14H = -168

H = 12

4H - 6L = 0
4(12) - 6L = 0
48 - 6L = 0
-6L = -48
L = 8

Harry's age now = H = 12
Louis's age now = L = 8
RELATED QUESTIONS
Harry is 3 times as old as Louise was when Harry was as old as Louise is now. When Louise (answered by MathLover1,ikleyn,MathTherapy)

Tom & Harry have a combined age of 91. Tom is twice as old as harry was when tom was as... (answered by Big Poop)

Bert is 4 times as old as Harry. Three years ago he was 7 times as old as Harry. How old... (answered by jorel1380)

Tom is twice as old as Dick was when Harry was one year younger than Tom is now. Dick is (answered by Edwin McCravy)

Gary is as old as Harry will be when Gary is twice as old as Harry was when Gary�s age... (answered by josmiceli)

Harry's father is now twice as old as harry is. he was four times as old as Harry 16... (answered by josmiceli)

Harry is in three years 2 times as old as he was 6 years ago. How old is Harry now? In... (answered by ankor@dixie-net.com,josmiceli)

Gary is 5 years older than harry. Twenty ninw yrs ago gary was twice as old as harry. Hiw (answered by JulietG)

In 7 years harry will be two times as old as he was last year how old is he... (answered by addingup)