In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest member was
average age of 5 members = 33x5 = 165 years
given that youngest member has age = 9 years
so 9 years ago , youngest member was not present and for other 4 people, 9 years will be reduced from each person' age and hence
total age of 4 members apart from the youngest one 9 years ago = 165- 9 - 36 = 120 years
average age when the youngest member was born = $$\frac{120}{4}$$
= 30 years
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