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Janet is now 25 years younger than her mother Carol. If in 6 years Jan

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Bunuel
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Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  03 Nov 2014, 08:22
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Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25
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Bunuel
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  03 Nov 2014, 08:23
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25


Check other Age Problems HERE.
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  03 Nov 2014, 15:42
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25


J = current age of Janet
C = current age of Carol

\(J +25 = C\)

\((J+6)*2 = C + 6\) ---> \(C = 2*J + 6\) , insert in first equation

\(J + 25 = 2*J + 6\)

\(J = 19\)

\(J - 5 = 14\)

Correct answer is B

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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  03 Nov 2014, 20:50
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25



Janet ................................... Carol

x .......................................... x+25 (Current Age)

x+6 ...................................... x+31 (After 6 yrs)

Given that \(\frac{1}{2} (x+31) = x+6\)

x = 19 = Current age of Janet

5 yrs ago Janet's age = 19-5 = 14

Answer = B
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  18 May 2020, 16:12
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25


J=C-25

J+6=(C+6)/2
2J+12=C+6
C-2J=6
C-2(C-25)=6
C-2C+50=6
-C=-44
C=44
J=19

5 years ago, J was 14.

Answer B
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink] New post  26 Feb 2023, 02:08
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