You can put this solution on YOUR website! Some punctuation is missing:
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Gina is 6 years younger than Nancy in 9 years time their total age will be 34 how old is Nancy now?
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Since some punctuation is missing, any possible interpretation might be right or might be wrong.
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Gina is 6 years younger than Nancy in 9 years time.
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g, Gina now
n+9, Nancy in nine years time
g=n+9, meaning g-9=n.
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Their total age will be 34.
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When? In 9 years time?
Use this as a system with the other equation from the description:
- , almost certainly NOT the answer you want.
See how I edited your post to fix it and to make sense.
Gina is 6 years younger than Nancy. In 9 years time their total age will be 34. How old is Nancy now?
Next time PLEASE be more accurate.
The dots separating sentences are NECESSARY.
The CAPITAL letters starting new sentences are NECESSARY, too.
All punctuation rules must be satisfied.
Always remember, that you address your post to tutors for the help; the tutors are the people, and you must to show your respect to them.
The way to do it is to write correctly.
Solution
G = N - 6 (1) ("Gina is 6 years younger than Nancy")
In 9 years Gina's age will be (G+9) = ((N-6)+9) = (N+3), while Nancy's age will be (N+9).
From the condition,
(N+3) + (N+9) = 34.
2N + 12 = 34
2= 34 - 12 = 22
N = 22/2 = 11.
ANSWER. Nancy is 11 years old now.
CHECK. The Gina's age is then 11-6 = 5.
In 9 years they will be 11+9 = 20 and 5+9 = 14 years old with the sum of the ages of 20+14 = 34. ! Correct !
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