The average age of a family of 6 members is 2 | vedclass

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(A) Total age of a family of $6$ members $= 22 	imes 6 = 132 	ext{ years}$.At the time of the birth of the youngest member (who is $7 	ext{ years}$

Vedclass · Accepted Answer

$18$

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(A) Total age of a family of $6$ members $= 22 	imes 6 = 132 	ext{ years}$.At the time of the birth of the youngest member (who is $7 	ext{ years}$ old now),each of the $6$ members was $7 	ext{ years}$ younger.Total reduction in age $= 6 	imes 7 = 42 	ext{ years}$.Total age of the family at the time of the birth of the youngest member $= 132 - 42 = 90 	ext{ years}$.At that time,the youngest member was not born,so there were only $5$ members in the family.Average age at that time $= \frac{90}{5} = 18 	ext{ years}$.

The average age of a family of $6$ members is $22 \text{ years}$. If the age of the youngest member is $7 \text{ years}$,then what was the average age of the family at the birth of the youngest member?

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