The average age of P , Q and R is 26 years . If the average age of P and R is 30 years . What is Q's age ?

Options

A. 24 years
B. 48 years
C. 36 years
D. Data inadeuate

Answer

To find Q's age based on the given information, we can follow these steps:

1. **Calculate the total age of P, Q, and R:**
The average age of P, Q, and R is given as 26 years. Since the average is calculated by dividing the total age by the number of individuals, we can find the total age as follows:
\[ \text{Total age of P, Q, and R} = \text{Average age} \times \text{Number of individuals} = 26 \times 3 = 78 \text{ years} \]

2. **Calculate the total age of P and R:**
The average age of P and R is given as 30 years. We can similarly calculate the total age of P and R:
\[ \text{Total age of P and R} = \text{Average age} \times \text{Number of individuals} = 30 \times 2 = 60 \text{ years} \]

3. **Find Q's age:**
Now, we can find Q's age by subtracting the total age of P and R from the total age of P, Q, and R:
\[ \text{Q's age} = \text{Total age of P, Q, and R} - \text{Total age of P and R} = 78 - 60 = 18 \text{ years} \]

Thus, Q's age is **18 years**.