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# David’s age is 1/6th of her father’s age. David’s father’s

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David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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Updated on: 27 Nov 2019, 21:35
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25% (medium)

Question Stats:

94% (01:46) correct 6% (02:15) wrong based on 16 sessions

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David’s age is 1/6th of his father’s age. David’s father’s age will be twice of Alice’s age after 10 years. If Alice’s eighth birthday was celebrated two years before, then what is David’s present age ?

A. 30
B. 24
C. 18
D. 6
E. 5

Posted from my mobile device

Originally posted by Dillesh4096 on 27 Nov 2019, 18:10.
Last edited by Dillesh4096 on 27 Nov 2019, 21:35, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 8289
David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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27 Nov 2019, 19:26
Dillesh4096 wrote:
David’s age is 1/6th of her father’s age. David’s father’s age will be twice of Alice’s age after 10 years. If Alice’s eighth birthday was celebrated two years before, then what is David’s present age ?

A. 30
B. 24
C. 18
D. 6
E. 5

Posted from my mobile device

Please mention source when you post a question.

A’s 8th birthday was 2 yrs back, so she is 10 now.
After 10 yrs she will be 20 and D’s father will be twice or 40, so present age of father is 40-10=30
Now D is 1/6th of 30 or 5.

E

wordings are confusing. David is 1/6th of HER father. Who is her here? If David, then in all probability it should be his
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Re: David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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27 Nov 2019, 21:48
chetan2u wrote:
Dillesh4096 wrote:
David’s age is 1/6th of her father’s age. David’s father’s age will be twice of Alice’s age after 10 years. If Alice’s eighth birthday was celebrated two years before, then what is David’s present age ?

A. 30
B. 24
C. 18
D. 6
E. 5

Posted from my mobile device

Flawed question.
Please mention source when you post a question.

A’s 8th birthday was 2 yrs back, so she is 10 now.
After 10 yrs she will be 20 and D’s father will be twice or 40.
Now D is 1/6th but you can’t have 1/6 of 40.

Even wordings are confusing. David is 1/6th of HER father. Who is her here? If David, then in all probability it should be his

Let the present age of David = x.
Present age of Alice = 8 + 2 = 10

-- David ------ Father ------ Alice ---- Time
---- x ------------ 6x --------- 10 ----- Present
- x + 10 ----- 6x + 10 ------ 20 ----- 10 years later

Given, David’s father’s age will be twice of Alice’s age after 10 years
--> 6x + 10 = 2*20 = 40
--> 6x = 40 - 10 = 30
--> x = 30/6 = 5

After 10 yrs she will be 20 and D’s father will be twice or 40.
Now D is 1/6th but you can’t have 1/6 of 40.

Referring to your logic, Father is 40 years old 10 years later, NOT NOW.
So, present age of Father = 40 - 10 = 30
David's age is 1/6th of Father's age = 1/6*30 = 5

So, i don't see what's wrong in that!

Definitely agree with you about the word HER, same is edited to HIS
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Joined: 16 Oct 2010
Posts: 9859
Location: Pune, India
Re: David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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27 Nov 2019, 22:15
1
Dillesh4096 wrote:
David’s age is 1/6th of his father’s age. David’s father’s age will be twice of Alice’s age after 10 years. If Alice’s eighth birthday was celebrated two years before, then what is David’s present age ?

A. 30
B. 24
C. 18
D. 6
E. 5

Posted from my mobile device

We start with what is given to us: Alice's 8th bday was 2 years ago. So Alice is 10 now.
After 10 years, she will be 20. David's father at that time will be twice of 20 i.e. he will be 40.
So right now, David's father is 30.
David's age is 1/6 of his father's so David is 30*(1/6) = 5 yrs old right now.

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Karishma
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Joined: 02 Aug 2009
Posts: 8289
David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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27 Nov 2019, 22:39
Dillesh4096 wrote:
chetan2u wrote:
Dillesh4096 wrote:
David’s age is 1/6th of her father’s age. David’s father’s age will be twice of Alice’s age after 10 years. If Alice’s eighth birthday was celebrated two years before, then what is David’s present age ?

A. 30
B. 24
C. 18
D. 6
E. 5

Posted from my mobile device

Flawed question.
Please mention source when you post a question.

A’s 8th birthday was 2 yrs back, so she is 10 now.
After 10 yrs she will be 20 and D’s father will be twice or 40.
Now D is 1/6th but you can’t have 1/6 of 40.

Even wordings are confusing. David is 1/6th of HER father. Who is her here? If David, then in all probability it should be his

Let the present age of David = x.
Present age of Alice = 8 + 2 = 10

-- David ------ Father ------ Alice ---- Time
---- x ------------ 6x --------- 10 ----- Present
- x + 10 ----- 6x + 10 ------ 20 ----- 10 years later

Given, David’s father’s age will be twice of Alice’s age after 10 years
--> 6x + 10 = 2*20 = 40
--> 6x = 40 - 10 = 30
--> x = 30/6 = 5

After 10 yrs she will be 20 and D’s father will be twice or 40.
Now D is 1/6th but you can’t have 1/6 of 40.

Referring to your logic, Father is 40 years old 10 years later, NOT NOW.
So, present age of Father = 40 - 10 = 30
David's age is 1/6th of Father's age = 1/6*30 = 5

So, i don't see what's wrong in that!

Definitely agree with you about the word HER, same is edited to HIS

Yes, you are correct.
In a hurry I took the later age.

But what is the source. You are supposed to mention the source in each question you post.
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VP
Joined: 20 Jul 2017
Posts: 1143
Location: India
Concentration: Entrepreneurship, Marketing
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Re: David’s age is 1/6th of her father’s age. David’s father’s  [#permalink]

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27 Nov 2019, 22:47
chetan2u wrote:
Yes, you are correct.
In a hurry I took the later age.

But what is the source. You are supposed to mention the source in each question you post.

The source is NMAT Book by GMAC.
I always mention the source if that tag is available, but mostly they are not available, so i mention as 'others - Please specify'

Is there a way that i can manually edit the source ? (If the same is not in list)
Re: David’s age is 1/6th of her father’s age. David’s father’s   [#permalink] 27 Nov 2019, 22:47
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