3 years ago the average 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 is:

A. 1 years

B.$\Large\frac{3}{2}$ years

C. 2 years

D. 3 years

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Solution(By Apex Team)

Let age of the baby is x. 3 years ago total age of the family = 5 × 17 = 85 years Total age of the 5 member at present time, = 85 + 3*5 = 100 years Total age of the family at present time including baby, = 100 + X The average of the family including baby at present time, = 17 years $\begin{array}{l}\left(\Large\frac{100+\mathrm{x}}{6}\right)=17\\ 100+\mathrm{X}=102\\ \mathrm{X}=102-100=2\text{ years }\end{array}$

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