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?Options :121312.5none
Question
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?Options :121312.5none
Solution
The average age of a family of 5 members is 20 years. This means the total age of all the members is 20*5 = 100 years.
If the age of the youngest member is 10 years, then the total age of the family members 10 years ago (at the time of the birth of the youngest member) was 100 - 10 (age of the youngest member) - 10*4 (10 years for each of the other 4 members) = 60 years.
The average age of the family at the time of the birth of the youngest member would be the total age divided by the number of family members, which is 60/5 = 12 years.
So, the answer is 12 years.
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