SOLUTION: Tulu was 24 years older than Hadas six years ago. Tulu was five times as old as Hadas at that time. Find the present ages of Tulu and Hadas.

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Question 250944: Tulu was 24 years older than Hadas six years ago. Tulu was five times as old as Hadas at that time. Find the present ages of Tulu and Hadas.
Answer by drk(1908) (Show Source):
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Let T = Tulu and H = Hadaz.
Tulu was 24 years older than Hadas six years ago.
we can express this as:
(i) .
6 years ago, means -6 for both people, but that will not make any difference in this part of the question, so we don't use it now.
Tulu was five times as old as Hadas at that time. We have another equation expressed as:
(ii) .
Substituting (ii) into (i), we get
(iii)
We can solve for H as
H = 6. This means that T = 30. Now we use the 6 years. These are their ages 6 years ago. Add 6 to both ages and we get
T = 12
H = 36.