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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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