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# Average age of a family of 5 members at present is 35. If After some y

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Intern
Joined: 21 May 2018
Posts: 1
Average age of a family of 5 members at present is 35. If After some y  [#permalink]

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07 Jan 2019, 10:46
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Difficulty:

(N/A)

Question Stats:

50% (00:44) correct 50% (03:14) wrong based on 6 sessions

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Average age of a family of 5 members at present is 35. If After some years, the eldest member of the family will die, and twins are born just one year before death, such that 6 years after death, the average age of family will become 25.5 years. If the eldest member will die at the age of 85 years, find after how many years from present, will he die?

A 10 years
B 2 years
C 5 years
D 15 years
E 12 years
Manager
Joined: 15 Feb 2018
Posts: 187
Re: Average age of a family of 5 members at present is 35. If After some y  [#permalink]

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07 Jan 2019, 15:21
What is the question source?

Zero chance that it is a sub-600 level. Too many changes in time. I initially missed the 6 years post-death and got 12.x as an answer.

ORIGINALLY
5 members of 35
5(35)=175 total age

AT TIME OF DEATH
The 5 original members minus the death plus the birth of the twins a year ago
$$\frac{5(x+35)-85+2}{6}=y$$

6 YEARS POST DEATH
Same as above +6·6 for the extra years of all the people
$$\frac{5(x+35)-85+2+36}{6}=25.5$$
5x+175-47=153
5x+128=153
5x=25
x=5
Re: Average age of a family of 5 members at present is 35. If After some y &nbs [#permalink] 07 Jan 2019, 15:21
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