CAT 2007 | Question: 24

Question

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 age of this eight member joint family is nearest to:

• A. $23$ years
• B. $22$ years
• C. $21$ years
• D. $25$ years
• E. $24$ years

Answer 1

from current ,10 yr ago ... family of 8 member have total age =231

 then ,3 yr later , 1 people died(age=60) and 1 child born ,now age of family = 231+3*8 -- 60 = 195

then ,another 3 yr later  , 1 member died(age =60), and 1 child born , so age of family = 195+3*8--60= 159,

now ,question ask aboubt current age of menmber (average age) of family =

current = (159 (which is 4yr ago(10-3-3 ) + 4*8) / 8= 23.8 = 24 yr  

so answe should be 5) option