Question : Three years ago, the average age of a family of 5 members was 17 years. A baby having been born the average age of the family is the same today. The present age of the baby (in years) is:
Option 1: 2
Option 2: 2.4
Option 3: 3
Option 4: 1.5
Correct Answer: 2
Solution :
Given that the average age of 5 members = 17
$\therefore$ Total age of 5 members = 17 × 5 = 85
Now, let the present age of the baby be $x$ years
Present total age of the family $= 85 + 5\times3 + x = 100 + x$
According to the question,
$\frac{100+x}{6}=17$
$⇒ 100 + x = 102$
$\therefore x = 2$ years
Hence, the correct answer is 2.
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