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?

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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) About Me  (Show Source):
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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