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The average age of a family of 5 members is 20 years. If the age of the youngest member of the family…

The present total age is \(5\times20=100\) years, of which the youngest contributes 5, leaving 95 for the other four. Five years ago those four had total age \(95-20=75\),…

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

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The present total age is 5×20=1005\times20=100 years, of which the youngest contributes 5, leaving 95 for the other four. Five years ago those four had total age 95−20=7595-20=75, so the average of the then four-member family was 75/4=18.7575/4=18.75 years.

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