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See all →- The present ages of a father and his son are in the ratio 9 : 4. After 5 years, the ratio of their ages will be 2 : 1. What is the father's present age? Answer: C. 45 years Answer: (C) 45 years Let the ages be 9x and 4x . 9x + 5/4x + 5 = 2/1 ⇒ 9x + 5 = 8x + 10 ⇒ x = 5 . Father = 9 × 5 = 45 ye... 1
- The sum of the present ages of a father and his son is 56 years. Four years ago, the father's age was three times the son's age. What is the father's present age (in years)? Answer: B. 40 Answer: (B) 40 F + S = 56 and F − 4 = 3(S − 4), so F = 3S − 8. Then 4S − 8 = 56, S = 16 and F = 40 years. 1
- The present ages of A and B are in the ratio 5 : 7. Six years ago, their ages were in the ratio 2 : 3. What is B's present age (in years)? Answer: D. 42 Answer: (D) 42 Let ages be 5k and 7k. 5k-6/7k-6 = 2/3 ⇒ 15k - 18 = 14k - 12 ⇒ k = 6 . B = 42 years. 1
- The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio will be 3 : 4. What is B's present age? Answer: D. 42 years Answer: (D) 42 years 5x + 6/7x + 6 = 3/4 ⇒ 20x + 24 = 21x + 18 ⇒ x = 6 . B = 7 × 6 = 42 years (A = 30). Check: 36 : 48 =... 1