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

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Manager
Joined: 28 Jun 2018
Posts: 95
In a family average age of mother and father is 38 years whereas  [#permalink]

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01 Aug 2018, 09:32
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92% (00:42) correct 8% (00:43) wrong based on 24 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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Manager
Joined: 22 Jun 2017
Posts: 66
Location: Brazil
GMAT 1: 600 Q48 V25
GPA: 3.5
WE: Engineering (Energy and Utilities)
Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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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
Intern
Joined: 24 Jul 2018
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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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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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Joined: 13 Apr 2013
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Location: India
GMAT 1: 480 Q38 V22
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Re: In a family average age of mother and father is 38 years whereas  [#permalink]

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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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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

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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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