According to the question,
Average age of a family of 10 members is = 20 years
Sum of the age of 10 members
= 20 × 10 = 200 years
If the age of youngest member is = 10 years
Sum of the age of 9 members at the time of birth of youngest member
= 200 - 10 × 10
= 200 - 100
= 100 years
∴ Average of 9 members is
= $$\frac{100}{9}$$ = $$11\frac{1}{9}$$ years
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