A man had 7 children. When their average age was 12 years,

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A man had 7 children. When their average age was 12 years, a child aged 6 years died. The average age of remaining six children is

1. 13 years
2. 10 years
3. 11 years
4. 14 years

Correct Option: A

Here , The average age of 7 children = 12
Total age of 7 children = 12 × 7
Age of died child = 6 years
Total age of remaining 6 children = 12 × 7 – 6 = 84 – 6
Total age of remaining 6 children = 78 years
∴ Their average age = 78 ÷ 6 = 13 years