Average age of a joint family over time
CAT 2007 Slot 1 · Quantitative Ability · Medium · Averages
This is a medium Quantitative Ability question from the CAT 2007 Slot 1 paper. It tests Averages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
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.
23 years
- B.
22 years
- C.
21 years
- D.
25 years
- E.
24 years
E
Explanation
Total age 10 years ago = 231. 3 years later (7 years ago): . 3 years later (4 years ago): . Current total age (4 years later): . Current average age years.
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