Question
The average age of P, Q, R and S is 30 years and the average age of P and Q is also 30 years. If S is 8 years older than R, then find the age of R.
Solution
ATQ,
Sum of the ages of P, Q, R and S = 30 × 4 = 120 years
Sum of the ages of P and Q = 30 × 2 = 60 years
Sum of the ages of R and S = 120 – 60 = 60 years
Let the age of R be ‘x’ years
So, age of S = (x + 8) years
Then, x + x + 8 = 60
2x = 52
x = 26
So, the age of R is 26 years.
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