Find the average age of the family at the birth of the youngest member.

The average of a family of 5 members is 24 If the age of youngest member is 6 years, find the average age of the family at the birth of the youngest member.

  1. 23 1/2  years
  2. 20 years
  3. 22 1/2 years
  4. 18 years
Anurag Mishra Professor Asked on 23rd January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (3) 22  1/2 years 

    Explanation:-
    The average of a family of 5 members = 24
    Therefore, the sum of ages of 5 members = 24 x 5 
     = 120 years

    The age of youngest member = 6 years
    So, the sum rest four family members = 120 – 6
     = 114 years

    The 6 years ago, sum of ages of 4 family members = 114 – 6 x 4 
     = 114 – 24
     = 90 years

    Then, the average age of the family members at the birth of the youngest member = 90/4
     = 22  1/2 years

    Hence, the correct answer is option (3) 22 1/2 years. 

    Anurag Mishra Professor Answered on 23rd January 2016.
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