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In a family average age of mother and father is 38 years whereas

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In a family average age of mother and father is 38 years whereas  [#permalink]

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New post 01 Aug 2018, 09:32
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (00:48) correct 11% (00:34) wrong based on 27 sessions

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In a family average age of mother and father is 38 years whereas the average age of father , mother and their only daughter is 28 years, Then what is the age of daughter ?
1) 2yrs
2) 5 yrs
3) 8 yrs
4) 10 yrs
5) 12 yrs

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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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New post 01 Aug 2018, 09:50
Let: m = age of mother, f = age of father and d = age of daughter.

(1) \(\frac{(m + f)}{2}\) = 38 ..... m + f = 76

(2) \(\frac{(m + f + d)}{3}\) = 28 ..... m + f + d = 84

- Subtracting: (2) - (1):

(2) m + f + d = 84
(1) -m - f = -76


d = 8

Option C
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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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New post 01 Aug 2018, 09:52
(M+F)/2=38
Therefore M+F= 76
(M+F+D)/3=28
Therefore M+F+D= 84
SO, D is equal to 8

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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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New post 01 Aug 2018, 10:31
1
kshitizbansal92 wrote:
In a family average age of mother and father is 38 years whereas the average age of father , mother and their only daughter is 28 years, Then what is the age of daughter ?
1) 2yrs
2) 5 yrs
3) 8 yrs
4) 10 yrs
5) 12 yrs


Given : M + F = 2 * 38 = 76 -----> (I)

M + F + D = 3 * 28 = 84 -------> (II)

Therefore, from I & II

D = 84 - 76 = 8 Years

Hence (C)
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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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New post 10 Aug 2018, 18:36
GMATbuster92 wrote:
In a family average age of mother and father is 38 years whereas the average age of father , mother and their only daughter is 28 years, Then what is the age of daughter ?
1) 2yrs
2) 5 yrs
3) 8 yrs
4) 10 yrs
5) 12 yrs


We can create the following equations:

m + f = 2(38) = 76

and

m + d + f = 3(28) = 84

Subtracting the first equation from the second, we have:

d = 8

Answer: 3/C
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Re: In a family average age of mother and father is 38 years whereas &nbs [#permalink] 10 Aug 2018, 18:36
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