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
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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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