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The present average age of a family of six members is 44 years. If the present age of the youngest member of the family is 14 years, then what was the average age of the family at the birth of the youngest member?  

The present average age of a family of six members is 44 years. If the present age of the youngest member of the family is 14 years, then what was the average age of the family at the birth of the youngest member?   Correct Answer 36 yrs

GIVEN:

Average of 6 members = 44 yrs

Age of youngest member = 14 yrs

FORMULA USED:

Average = Sum of observations/Total number of observations

CALCULATION:

Total age of the family = 44 × 6 = 264 yrs

Total age at the birth of youngest member = 264 - (14 × 6) = 180 yrs

At that time there were only 5 members,

∴ Required average = 180/5 = 36 yrs

∴ Average age of the family was 36 years.

Confusion Points At the birth of the youngest member is a standard line in such age-related questions so you have to exclude the child as unborn.

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