SOLUTION: Tabitha and Dara have been diving a number of years that is half of the age of Dara. Dara is 3 years older than Tabitha. The total of their ages is 33. How old is Tabitha? How

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Question 768205: Tabitha and Dara have been diving a number of years that is half of the age of Dara. Dara is 3 years older than Tabitha. The total of their ages is 33. How old is Tabitha? How old is Dara? ____________ How long have they been diving?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Tabitha's age now
Let +d+ = Dara's age now
+d%2F2+ = half of Dara's age
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(1) +d+=+t+%2B+3+
(2) +d+%2B+t+=+33+
Substitute (1) into (2)
(2) +t+%2B+3+%2B+t+=+33+
(2) +2t+=+33+-+3+
(2) +t+=+30%2F2+
(2) +t+=+15+
and
(1) +d+=+t+%2B+3+
(1) +d+=+15+%2B+3+
(1) +d+=+18+
and
+d%2F2+=+9+
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Tabitha is 15
Dara is 18
They have been diving for 9 years