Question 499423: jennifer is 6 years older than sue. in 4 years, she will be twice as old as sue was 5 years ago. find their ages now. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! J = Jennifer's age
S = Sue's age
J = S+6
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In 4 years...
J+4
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J will be twice as old as S was 5 years ago
J+4 = 2(S-5)
J = 2S - 10 - 4
J = 2S -14
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Substitute
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S+6 = 2S-14
-S = -20
S = 20
J = 20+6
J = 26
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Check.
In 4 years:
J+4 = 26 + 4 = 30
...
Jennifer will be twice as old as Sue was 5 years ago.
5 years ago Sue was 20-5 = 15 years old
2 * 15 = 30
...
Correct.
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Answer:
Jennifer is 26, and Sue is 20.
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Done.
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