Four years ago, the average age of a family of four persons was 18 years. During this period, a baby was born. Today if the average age of the family is still 18 years, the age of the baby is

3.0 years
2.5 years
2.0 years
1.2 years

The correct answer is (a) 3.0 years.

Four years ago, the total age of the family was $4 \times 18 = 72$ years. Today, the total age of the family is $72 + 4 \times 1 = 76$ years. The age of the baby is $76 – 4 \times 18 = 3$ years.

Option (b) is incorrect because $2.5$ years is less than the age of the baby.

Option (c) is incorrect because $2$ years is less than the age of the baby.

Option (d) is incorrect because $1.2$ years is less than the age of the baby.

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