SOLUTION: Susie is 3 times as old as lita 4 years ago.susie is 2 years older than lita how old are susie and lita?

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Question 889934: Susie is 3 times as old as lita 4 years ago.susie is 2 years older than lita how old are susie and lita?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +S+ = Susie's age now
Let +L+ = Lita's age now
+L+-+4+ = Lita's age 4 years ago
--------------------------------
Given:
(1) +S+=+3%2A%28+L+-+4+%29+
(2) +S+=+L+%2B+2+
--------------------------
The wording of this is very important.
When it says " Susie IS 3 times as old as
Lita 4 years ago, I assume I have
to use Susie's present age.
--------------------------
If it said " Susie WAS 3 times as old as Lita
4 years ago, I would use Susie's age 4
years ago.
--------------
Substitute (2) into (1)
(1) +L+%2B+2+=+3%2A%28+L+-+4+%29+
(1) +L+%2B+2++=+3L+-+12+
(1) +2L+=+14+
(1) +L+=+7+
and, since:
(2) +S+=+L+%2B+2+
(2) +S+=+7+%2B+2+
(2) +S+=+9+
Susie is 9
Lita is 7
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check:
(1) +S+=+3%2A%28+L+-+4+%29+
(1) +9+=+3%2A%28+7+-+4+%29+
(1) +9+=+3%2A3+
(1) +9+=+9+
OK