Question : The average age of 6 members of a family is 25 years. If the youngest member is 4 years old, then what was the average age of the family just before the birth of the youngest member?
Option 1: 27.2 years
Option 2: 24.8 years
Option 3: 32.8 years
Option 4: 25.2 years
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Correct Answer: 25.2 years
Solution :
Given: The average age of 6 members of a family is 25 years.
The total age of 6 members of a family = 6 × 25 = 150
Age of youngest member = 4 years
Total ages of people before the birth of youngest member = 150 – 4 – (5 × 4) = 126
Required average = $\frac{126}{5}=25.2$
Hence, the correct answer is 25.2 years.
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