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The average of 5 family member is 25 years old. If the age of the youngest member of the family is 6 years, then the average age of the members of the family just before the birth of the youngest member was approximately
1. 22.5 years
2. 23.75 years
3. 21.75 years
4. 13.75 years

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Correct Answer - Option 2 : 23.75 years

Given:

The average of 5 family member is 25 years old.

The age of the youngest member of the family is 6 years.

Formula used:

Average = (Sum of total observations)/(Total number of observation)

Calculation:

Average = (Sum of total observations)/(Total number of observation)

⇒ (Sum of total observations) = Average × (Total number of observation)

Total sum of family = 5 × 25 = 125 years

Age of child is 6 years old, before his birth all 4 member of family are 6 years less than present age

So, New sum of age of family = 125 – 6 × 5 = 95 years

The required average = 95/4 = 23.75 years

∴ The required average is 23.75 years.

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