The average age of P, Q and R at present is 60 years. Ratio of present ages of P, Q and R is 4 : 5 : 9. What is the difference between the total ages of P and R and the age of Q?
Show answer & explanation
Correct answer: B
Explanation
Average age of P, Q, and R = 60 years
Total age = 60 × 3 = 180 years
Ratio:
P : Q : R = 4 : 5 : 9
Let:
P = 4x, Q = 5x, R = 9x
Total = 4x + 5x + 9x = 18x
18x = 180
x = 10
Actual ages:
P = 4 × 10 = 40
Q = 5 × 10 = 50
R = 9 × 10 = 90
Now, as per the question:
(P + R) − Q
(40 + 90) − 50 = 80
Final Answer: 80 years