1302 : Arithmetic : Age (CAT2007)

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
(1) 23 years (2) 22 years (3) 21 years (4) 25 years (5) 24 years


Solution:
The total age of all the eight people in the family = 231 As per the information given in the question, the total age of all the people in the family= 231 + 3 × 8 – 60 + 0 = 195
Similarly the total age of the people in the family four years ago= 195 + 3 × 8 – 60 + 0 = 159.
Therefore the current average age of all the people in the family159 + 32 /  24
8 years.