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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) $$\frac{3}{2}$$ years
c) 2 years
d) 3 years

Answer: c
Explanation: 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
$$\frac{{100 + {\text{x}}}}{6} = 17$$
100 + X = 102
X = 102 – 100 = 2 years

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