The ratio of present age of P to age of Q four years ago is 2 : 1. Present age…
2024
The ratio of present age of P to age of Q four years ago is 2 : 1. Present age of R is equal to average of present age of P and Q. 16 years ago, age of R was 10 years. Find the sum of present age of P, Q and R (in years)?
- A.
66 years
- B.
78 years
- C.
82 years
- D.
99 years
- E.
102 years
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Present age of R is 10 + 16 = 26 years. Since R is the average of P and Q, P + Q = 52. Also P : (Q - 4) = 2 : 1, so P = 2Q - 8. Solving gives Q = 20 and P = 32, hence P + Q + R = 78 years.