### 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

## Show Answer

### Answer-C

Solution-

__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
$\begin{array}{l}\left(\Large\frac{100+\mathrm{x}}{6}\right)=17\\
100+\mathrm{X}=102\\
\mathrm{X}=102-100=2\text{ years }\end{array}$