Multiple choice

The average age of a family of 9 members is 26 years. If the youngest member of the family is 10 years old, then find the average age of the family members at the time of birth of the youngest member.

  1. 18 years

  2. 17 years

  3. 16 years

  4. 20 years

  5. 19 years
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A Correct answer
Explanation

Present average age of the family of 9 members is 26 years.

So, present sum of the ages of all the 9 members = 26 * 9 = 234 years

Now, sum of the ages at the time of birth of the youngest member = 234 - (8 * 10 + 10)

= 144 years

So, average age of 8 members at the time of birth of the youngest member = 144/8 = 18 years

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