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

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

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New post 03 Nov 2014, 07:22
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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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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan  [#permalink]

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New post 03 Nov 2014, 07:23
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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New post 03 Nov 2014, 14:42
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

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

\(J = 19\)

\(J - 5 = 14\)

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]

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New post 03 Nov 2014, 19:50
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

Answer = B
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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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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan &nbs [#permalink] 22 Dec 2017, 06:46
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