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# The ratio between the ages of Mary and her mother is 1: 2

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Intern
Joined: 11 Jan 2017
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The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 00:40
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55% (hard)

Question Stats:

56% (02:06) correct 44% (02:03) wrong based on 48 sessions

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The ratio between the ages of Mary and her mother is 1: 2 and that of Mary and her father is 1: 3 at the time of Mary's birth. Mary is 10 years old now. Find out the ratio between the ages of Mary's mother and father at this age of Mary.

a. 1:2
b. 1:3
c. 2:3
d. 3:2
e. none of the above
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The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 01:15
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ArupSarker wrote:
The ratio between the ages of Mary and her mother is 1: 2 and that of Mary and her father is 1: 3 at the time of Mary's birth. Mary is 10 years old now. Find out the ratio between the ages of Mary's mother and father at this age of Mary.

a. 1:2
b. 1:3
c. 2:3
d. 3:2
e. none of the above

Mary:Mother = 1:2

Mary : Father = 1:3

i.e. Mary:Mother:Father = 1:2:3

Mary =10 years

Mary:Mother:Father = (10):(20):(30)

But the language seems very ambiguous because at the time of birth mary's age can't represent 1... Mary should be atleast 1 year old for this to be true
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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 03:19
1
At the time of birth if the ratio between Mary's age and her mother's age was 1:2, then her mother must have been 2 years old, that is if we take Mary's age to be 1, which is not correct in itself. Either the question is wrong or it's wrongly worded.
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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 08:12
ArupSarker wrote:
The ratio between the ages of Mary and her mother is 1: 2 and that of Mary and her father is 1: 3 at the time of Mary's birth. Mary is 10 years old now. Find out the ratio between the ages of Mary's mother and father at this age of Mary.

a. 1:2
b. 1:3
c. 2:3
d. 3:2
e. none of the above
Attachment:

Capture.PNG [ 2.16 KiB | Viewed 671 times ]

Ratio of Mary's Mother and Father is 2:3

Thus, the correct answer will be (C) 2:3
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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 09:05
Let Mary's age at birth be x.
Let her mother's age be M and father's age be F

x/M = 1/2
M = 2x

x/F = 1/3
F = 3x
This is at the time of Mary's birth, so the ages of her mother and father are in (ratio 2:3)

So 10 years later, the ratio is 2x+10 : 3x+10

IMO, the answer is e. None of the above or the question is wrongly worded!
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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 09:50
The question is not correctly framed ... At the time of Mary's Birth, her age will be 0 ratio doesnt matter.. Anyways E would be the answer ..

Even If we assume initial age of mary as 1 then age of her mother and her father would be 2 and 3 respectively.
In that case the current age of mother and father would be 11 and 12.:. Answer would remain as E.

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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 10:00
I agree ... language is ambiguous..we can do this by assuming numbers...
Consider 10 ... Mary's age 10
Mary's mother age 20
Mary's father age 30
M:F =2:3
C option
Please correct me if I am wrong.....

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Re: The ratio between the ages of Mary and her mother is 1: 2  [#permalink]

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06 Jul 2017, 10:04
That ratio of ages between mary's mother and mary's father mentioned is 2:3, it is at the time of birth. They are asking for the currrent age ratio ... 2x+10/3x+10...

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Re: The ratio between the ages of Mary and her mother is 1: 2   [#permalink] 06 Jul 2017, 10:04
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