Question : The average age of 5 children is 10 years. If two more children of ages 11 years and 16 years join, then what will be the new average age?
Option 1: 11 years
Option 2: 10 years
Option 3: 13 years
Option 4: 12 years
Correct Answer: 11 years
Solution :
The average age of 5 children = 10 years
Sum of the ages of 5 children = 10 × 5 = 50
Age of first new child = 11 years
Age of second new child = 16 years
Total ages of 7 children = 50 + 11 + 16 = 77 years
So, the required average = $\frac{\text{Sum of the ages of 7 children}}{\text{Total children}}$
= $\frac{77}{7}$
= 11 years
Hence, the correct answer is 11 years.
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