What is the Present Age of the Youngest Child is

10 years ago, the average age of a family of 4 members was 24 years. Two children with age difference of 2 years have been born in the family but the average age of the family is the same. The present age of the youngest child is

  1. 1 years
  2. 2 years
  3. 3 years
  4. 5 years
Monis Rasool Professor Asked on 23rd May 2015 in Maths.
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1 Answer(s)

Answer: (c) 3 years
Explanation:-
Sum of the ages of the family of 4 members = 4 x 24 + 10 x 4 = 136 years.
Let the X and (X + 2) be ages of new born children
Now the present average of age = (136 + X + 2 + X)/6 = 24
2X + 138 = 24 x 6
2X = 144 – 138 = 6
X = 6/2 = 3
X = 3 years
Hence, the age of youngest child is 3 years.

Anurag Mishra Professor Answered on 23rd May 2015.
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