### The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?

A. 13.5

B. 14

C. 15

D. 12.5

At present the total age of the family = 5 × 20 =100 The total age of the family at the time of the birth of the youngest member, = 100 – 10 – (10 × 4) = 50 Therefore, average age of the family at the time of birth of the youngest member, $=\frac{50}{4}=12.5$