Railways PYQCBT 1 2016

RRB NTPC · Question 99

Six years ago, the ratio of the ages of the two persons P and Q was 3 : 2. Four years hence, the ratio of their ages will be 8 : 7. What is P’s age? A. 10 years B. 12 years C. 14 years D. 8 years

  1. C

  2. B

  3. D

  4. A

Show answer & explanation

Answer: (B) B

Explanation

Six years ago the ages were 3k and 2k, so now P = 3k + 6 and Q = 2k + 6. Four years hence: (3k + 10)/(2k + 10) = 8/7, so 21k + 70 = 16k + 80 and k = 2. P's present age = 3 × 2 + 6 = 12 years.