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Difficulty:
85%
(hard)
Question Stats:
40%
(02:32)
correct 60%
(03:08)
wrong
based on 20
sessions
History
Date
Time
Result
Not Attempted Yet
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to
A. 21 B. 22 C. 23 D. 24 E. 25
(adapted from gmatfree)
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10 years ago sum of 8 = 231 3 years after one died of age 60 and born = 231+8(3)- 60= 195 3 years later same = 195+ 8(3) - 60 = 159 Now = 159+8(4) = 191 Average = 191/8 = 23.875~ 24
Given: Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year.
Asked: The current average age of this eight-member joint family is nearest to
10 years ago: - The ages of the members of a joint family of eight people added up to = 231 years.
3 years later (7 years ago): - The ages of the members of a joint family of eight people added up to = 231 + 3*8 - 60 = 195 years
6 years later (4 years ago):- The ages of the members of a joint family of eight people added up to = 195 + 3*8 - 60 = 161 years
Presently : - The ages of the members of a joint family of eight people added up to = 161 + 4*8 = 193 years The current average age of this eight-member joint family is nearest to = 193/8 = 24 1/8 years
IMO D
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