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3 years ago, the average age of a family of 5 members was 17 years. A baby having been born somewhere in the middle, the average age of the family is the same today. The present age of the baby is:

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3 years

2 years

1 years

6 months

answer is B.

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Detailed Solution

Concept: From the data provided in the question, we will first find out the total age of all 5 members of the house as of 3 years ago, since,
Question Image

Then, we assume that the baby was born

years ago, i.e., the present age of the baby is

years.
We will have to use this

to form an equation based on the present condition provided in the question and a generalised form of the above-mentioned formula only.
Solving for

will give us our desired answer.
The average age of a family of 5 members was 17 years, 3 years ago.
Therefore, 3 years ago,

Therefore, at present, Question Image

Also given, a baby having been before

years, the present average age of the family is 17 years, i.e., Question Image

Hence, the correct answer is 2) 2 years.

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