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Solution


Given:
    • x students are 10 years old
    • Remaining, y, students are 11 years old

To find:
    • The average age of all students in the class

Approach and Working:
    • Total number of students in the class = x + y
    • Sum of ages of x students = 10x
    • Sum of ages of remaining , y, students = 11y
    • Sum of ages of all the students in the class = 10x + 11y
    • Thus, Average age of all students = \(\frac{(10x + 11y)}{(x + y)}\)

Hence the correct answer is E

Answer: E

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