Three years ago, the average age of a family of six members was 19 years. Since then, a boy has been born, and the average age of the family is the same today as it was three years ago. What is the age of the boy?
1 year
The correct answer is Option 1 i.e. 1 year.
3 years ago:
Total age = 6 × 19 = 114 years
After 3 years:
Each of the 6 members aged 3 years: 114 + 6 × 3 = 114 + 18 = 132 years
Let boy's age be x
Total age = 132 + x
⇒ (132 + x)/7 = 19
⇒ 132 + x = 133
⇒ x = 1 year
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