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    The average age of Raj and his sister is 8 years. If Raj’s age is 10 years, then find the age of his sister.
    Question

    The average age of Raj and his sister is 8 years. If Raj’s age is 10 years, then find the age of his sister.

    A.

    7 years

    B.

    9 years

    C.

    6 years

    D.

    8 years

    Correct option is C

    Given:

    Average = 8, Raj’s age = 10

    Formula Used: 

    Average = Sum of age total persons\frac{\text{Sum of age}}{\text{ total persons}} ​

    Solution: 

    Sum of ages = 8×2=16. Sister’s age = Sum - Raj’s age.\text{Sum of ages = } 8 \times 2 = 16. \\ \ \\ \text{Sister's age = Sum - Raj's age.} ​​

    Sister's age = 16 - 10 = 6 yr

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