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

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Math Expert
Joined: 02 Sep 2009
Posts: 55804
Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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03 Nov 2014, 08:22
1
00:00

Difficulty:

5% (low)

Question Stats:

84% (01:53) correct 16% (02:23) wrong based on 209 sessions

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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

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Math Expert
Joined: 02 Sep 2009
Posts: 55804
Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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03 Nov 2014, 08:23
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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Concentration: Finance, Economics
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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03 Nov 2014, 15:42
1
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

$$J + 25 = 2*J + 6$$

$$J = 19$$

$$J - 5 = 14$$

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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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03 Nov 2014, 20:50
1
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

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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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22 Dec 2017, 07:46
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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan   [#permalink] 22 Dec 2017, 07:46
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